Research Output per year
Research Output 1982 2016
- 508 Citations
- 10 h-Index
- 41 Article
2016
Hyperbolic equations of von Karman type
Cherrier, P. & Milani, A., Feb 1 2016, In : Discrete and Continuous Dynamical Systems - Series S. 9, 1, p. 125-137 13 p.Research output: Contribution to journal › Article
Elliptic Systems
Strong Solution
Hyperbolic Systems
Hyperbolic Equations
2012
1
Citation
(Scopus)
Hyperbolic equations of Von Karman type on Kähler manifolds
Cherrier, P. & Milani, A., Jan 1 2012, In : Bulletin des Sciences Mathematiques. 136, 1, p. 19-36 18 p.Research output: Contribution to journal › Article
Local Well-posedness
Hyperbolic Equations
Compact Manifold
Function Space
Global Existence
2011
Decay estimates for quasi-linear evolution equations
Cherrier, P. & Milani, A., Jan 1 2011, In : Bulletin des Sciences Mathematiques. 135, 1, p. 33-58 26 p.Research output: Contribution to journal › Article
Decay Estimates
Stability Estimates
Quasilinear Equations
Strong Solution
Evolution Equation
Long-time behavior of small solutions to quasilinear dissipative hyperbolic equations
Milani, A. & Volkmer, H., Oct 1 2011, In : Applications of Mathematics. 56, 5, p. 425-457 33 p.Research output: Contribution to journal › Article
Small Solutions
Dissipative Equations
Long-time Behavior
Hyperbolic Equations
Quasilinear Elliptic Equation
2009
Almost global strong solutions to quasilinear dissipative evolution equations
Milani, A., Jan 1 2009, In : Chinese Annals of Mathematics. Series B. 30, 1, p. 91-110 20 p.Research output: Contribution to journal › Article
Dissipative Equations
Strong Solution
Global Existence
Existence Results
Evolution Equation
3
Citations
(Scopus)
Parabolic equations of Von Karman type on Kähler manifolds, II
Cherrier, P. & Milani, A., Mar 1 2009, In : Bulletin des Sciences Mathematiques. 133, 2, p. 113-133 21 p.Research output: Contribution to journal › Article
Existence and Uniqueness Results
Compact Manifold
Parabolic Equation
Weak Solution
Family
2007
3
Citations
(Scopus)
Parabolic equations of Von Karman type on Kähler manifolds
Cherrier, P. & Milani, A., Jun 1 2007, In : Bulletin des Sciences Mathematiques. 131, 4, p. 375-396 22 p.Research output: Contribution to journal › Article
Regular Solution
Compact Manifold
Parabolic Equation
Arbitrary
2006
Almost-periodic solutions to quasilinear evolution equations with a nonlocal nonlinearity
Milani, A. & Pinter, G., Aug 2006, In : Mathematical Methods in the Applied Sciences. 29, 12, p. 1411-1422 12 p.Research output: Contribution to journal › Article
Almost Periodic Solution
Quasilinear Equations
Existence and Uniqueness Results
Evolution Equation
Nonlinearity
Dynamical systems: Regularity chaos
Milani, A., Dec 1 2006, In : Rendiconti del Seminario Matematico. 64, 3, p. 239-272 34 p.Research output: Contribution to journal › Article
Équations paraboliques du type de Von Kármán sur les variétés kählériennes
Research output: Contribution to journal › Article
Regular Solution
Compact Manifold
Parabolic Equation
2005
43
Citations
(Scopus)
Global attractors for singular perturbations of the Cahn-Hilliard equations
Zheng, S. & Milani, A., Feb 1 2005, In : Journal of Differential Equations. 209, 1, p. 101-139 39 p.Research output: Contribution to journal › Article
Cahn-Hilliard Equation
Global Attractor
Singular Perturbation
Boundary value problems
Dynamical systems
2004
28
Citations
(Scopus)
Exponential attractors and inertial manifolds for singular perturbations of the Cahn-Hilliard equations
Zheng, S. & Milani, A., May 1 2004, In : Nonlinear Analysis, Theory, Methods and Applications. 57, 5-6, p. 843-877 35 p.Research output: Contribution to journal › Article
Inertial Manifolds
Exponential Attractors
Cahn-Hilliard Equation
Singular Perturbation
One Dimension
2001
53
Citations
(Scopus)
Long-time convergence of solutions to a phase-field system
Milani, A. & Han, Y., Mar 25 2001, In : Mathematical Methods in the Applied Sciences. 24, 5, p. 277-287 11 p.Research output: Contribution to journal › Article
Phase-field Systems
Convergence of Solutions
Phase Field Model
Euler-Lagrange Equations
Bounded Solutions
1
Citation
(Scopus)
Sobolev regularity for t > 0 in quasilinear parabolic equations
Milani, A., Jan 1 2001, In : Mathematische Nachrichten. 231, p. 113-127 15 p.Research output: Contribution to journal › Article
Quasilinear Parabolic Equations
Regularity
Dissipative Equations
Hyperbolic Problems
Regularity Properties
2000
69
Citations
(Scopus)
On the diffusion phenomenonof quasilinear hyperbolic waves
Yang, H. & Milani, A., Jan 1 2000, In : Bulletin des Sciences Mathematiques. 124, 5, p. 415-433 19 p.Research output: Contribution to journal › Article
Quasilinear Hyperbolic Equation
Nonlinear Parabolic Equations
Asymptotic Behavior of Solutions
Damping
Decay
4
Citations
(Scopus)
On the diffusion phenomenon of quasilinear hyperbolic waves
Yang, H. & Milani, A., 2000, In : Chinese Annals of Mathematics. Series B. 21, 1, p. 63-70 8 p.Research output: Contribution to journal › Article
Quasilinear Hyperbolic Equation
Nonlinear Parabolic Equations
Asymptotic Behavior of Solutions
Damping
Decay
1999
2
Citations
(Scopus)
A remark on the Sobolev regularity of classical solutions to uniformly parabolic equations
Milani, A., Jan 1 1999, In : Mathematische Nachrichten. 199, p. 115-144 30 p.Research output: Contribution to journal › Article
Quasilinear Problems
Classical Solution
Global Existence
Parabolic Equation
Regularity
1998
2
Citations
(Scopus)
A remark on the Sobolev regularity of classical solutions of strongly elliptic equations
Milani, A., Jan 1 1998, In : Mathematische Nachrichten. 190, p. 203-219 17 p.Research output: Contribution to journal › Article
Classical Solution
Elliptic Equations
Regularity
Quasilinear Equations
Coefficient
6
Citations
(Scopus)
On the asymptotic behavior of semilinear wave equations with degenerate dissipation and source terms
Georgiev, V. & Milani, A., Jan 1 1998, In : Nonlinear Differential Equations and Applications. 5, 1, p. 53-68 16 p.Research output: Contribution to journal › Article
Semilinear Wave Equation
Wave equations
Source Terms
Dissipation
Asymptotic Behavior
1996
Erratum: long time existence and singular perturbation results for quasilinear hyperbolic equations with small parameter and dissipation term - III
Milani, A., Jan 1 1996, In : Nonlinear Analysis, Theory, Methods and Applications. 27, 3, p. 367-368 2 p.Research output: Contribution to journal › Article
Quasilinear Hyperbolic Equation
Singular Perturbation
Small Parameter
Dissipation
Term
Erratum: Long time existence and singular perturbaton results for quasilinear hyperbolic equations with small parameter and dissipation term—III
Milani, A., 1996, In : Nonlinear Analysis, Theory, Methods and Applications. 27, 3, p. 367-368 2 p.Research output: Contribution to journal › Article
Open Access
2
Citations
(Scopus)
On some global well-posedness and asymptotic results for quasilinear parabolic equations
McLeod, K. & Milani, A., Jan 1 1996, In : Nonlinear Differential Equations and Applications. 3, 1, p. 79-114 36 p.Research output: Contribution to journal › Article
Quasilinear Parabolic Equations
Global Well-posedness
Parabolic Problems
Initial-boundary-value Problem
Attractor
1995
1
Citation
(Scopus)
On compatible regularizing data for second order hyperbolic initial-boundary value problems
Milani, A. & Shibata, Y., Jan 1 1995, In : Osaka Journal of Mathematics. 32, 2, p. 347-362 16 p.Research output: Contribution to journal › Article
3
Citations
(Scopus)
On the convergence of attractors and exponential attractors for singularly perturbed hyperbolic equations
Eden, A. & Milani, A., Jan 1 1995, In : Turkish Journal of Mathematics. 19, 1, p. 102-117 16 p.Research output: Contribution to journal › Article
Exponential Attractors
Parameter Perturbation
Singularly Perturbed
Hyperbolic Equations
Parabolic Equation
9
Citations
(Scopus)
Weak Solution Theory for Maxwell′s Equations in the Semistatic Limit Case
Milani, A. & Picard, R., Apr 1 1995, In : Journal of Mathematical Analysis and Applications. 191, 1, p. 77-100 24 p.Research output: Contribution to journal › Article
Curl
Continuous Dependence
Hilbert spaces
Maxwell equations
Maxwell's equations
1993
40
Citations
(Scopus)
Exponential attractors for extensible beam equations
Edein, A. & Milani, A. J., 1993, In : Nonlinearity. 6, 3, p. 393-415 23 p.Research output: Contribution to journal › Article
Exponential Attractors
Beam Equation
Damping
Attractor
functionals
12
Citations
(Scopus)
Local exponential attractors for models of phase change for compressible gas dynamics
Eden, A., Milani, A. & Nicolaenko, B., Dec 1 1993, In : Nonlinearity. 6, 1, p. 93-117 25 p., 007.Research output: Contribution to journal › Article
Exponential Attractors
Gas dynamics
gas dynamics
Phase Change
Gas Dynamics
1992
36
Citations
(Scopus)
Finite dimensional exponential attractors for semilinear wave equations with damping
Eden, A., Milani, A. J. & Nicolaenko, B., Sep 15 1992, In : Journal of Mathematical Analysis and Applications. 169, 2, p. 408-419 12 p.Research output: Contribution to journal › Article
Exponential Attractors
Semilinear Wave Equation
Wave equations
Damping
sine-Gordon equation
1991
3
Citations
(Scopus)
Long time existence and singular perturbation results for quasilinear hyperbolic equations with small parameter and dissipation term-III
Milani, A., Jan 1 1991, In : Nonlinear Analysis. 16, 1, p. 1-11 11 p.Research output: Contribution to journal › Article
1990
2
Citations
(Scopus)
A global existence result for quasi-linear parabolic equations
McLeod, K. & Milani, A., Jan 1 1990, In : Communications in Partial Differential Equations. 15, 4, p. 557-594 38 p.Research output: Contribution to journal › Article
96
Citations
(Scopus)
The one-dimensional Darcy's law as the limit of a compressible Euler flow
Marcati, P. & Milani, A., Jan 1 1990, In : Journal of Differential Equations. 84, 1, p. 129-147 19 p.Research output: Contribution to journal › Article
1989
Almost global existence of solutions of quasi‐linear hyperbolic equations
Milani, A. J. & Brosowski, B., Jan 1 1989, In : Mathematical Methods in the Applied Sciences. 11, 1, p. 65-70 6 p.Research output: Contribution to journal › Article
Quasilinear Hyperbolic Equation
Initial value problems
Global Existence
Existence of Solutions
Hyperbolic Problems
1988
4
Citations
(Scopus)
Global existence for quasi-linear dissipative wave equations with large data and small parameter
Milani, A. J., Jun 1988, In : Mathematische Zeitschrift. 198, 2, p. 291-297 7 p.Research output: Contribution to journal › Article
33
Citations
(Scopus)
Singular convergence of weak solutions for a quasilinear nonhomogeneous hyperbolic system
Marcati, P., Milani, A. J. & Secchi, P., Mar 1988, In : Manuscripta Mathematica. 60, 1, p. 49-69 21 p.Research output: Contribution to journal › Article
Hyperbolic Systems
Weak Solution
Nonlinear Hyperbolic Systems
Compensated Compactness
Nonlinear Parabolic Equations
1987
10
Citations
(Scopus)
Long time existence and singular perturbation results for quasi-linear hyperbolic equations with small parameter and dissipation term-II
Milani, A. J., Jan 1 1987, In : Nonlinear Analysis. 11, 12, p. 1371-1381 11 p.Research output: Contribution to journal › Article
1986
11
Citations
(Scopus)
Long time existence and singular perturbation results for quasi-linear hyperbolic equations with small parameter and dissipation term
Milani, A. J., Jan 1 1986, In : Nonlinear Analysis. 10, 11, p. 1237-1248 12 p.Research output: Contribution to journal › Article
1985
3
Citations
(Scopus)
Singular limits of quasi-linear hyperbolic systems in a bounded domain of R3 with applications to Maxwell’s equations
Milani, A., Jan 1 1985, In : Pacific Journal of Mathematics. 116, 1, p. 111-129 19 p.Research output: Contribution to journal › Article
Quasilinear Hyperbolic System
Singular Limit
Maxwell's equations
Bounded Domain
Stable Solution
6
Citations
(Scopus)
Time periodic smooth solutions of hyperbolic quasi-linear equations with dissipation term and their approximation by parabolic equations
Milani, A. J., Dec 1 1985, In : Annali di Matematica Pura ed Applicata. 140, 1, p. 331-344 14 p.Research output: Contribution to journal › Article
1984
5
Citations
(Scopus)
The quasi-stationary Maxwell equations as singular limit of the complete equations: The quasi-linear case
Milani, A., Jan 1 1984, In : Journal of Mathematical Analysis and Applications. 102, 1, p. 251-274 24 p.Research output: Contribution to journal › Article
Singular Limit
Maxwell equations
Maxwell's equations
Permittivity
Stable Solution
1982
9
Citations
(Scopus)
Local in time existence for the complete Maxwell equations with monotone characteristic in a bounded domain
Milani, A., Dec 1 1982, In : Annali di Matematica Pura ed Applicata. 131, 1, p. 233-254 22 p.Research output: Contribution to journal › Article
Quasilinear Hyperbolic System
Regular Solution
Maxwell equations
Maxwell's equations
Bounded Domain
8
Citations
(Scopus)
On the quasi-stationary Maxwell equations with monotone characteristics in a multiply connected domain
Milani, A. & Negro, A., Jan 1 1982, In : Journal of Mathematical Analysis and Applications. 88, 1, p. 216-230 15 p.Research output: Contribution to journal › Article
Multiply Connected Domain
Magnetic cores
Curl
Monotone Operator
Maxwell equations