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Semilinear parabolic problems in thin domains with a highly oscillatory boundary
(Pergamon-Elsevier B.V. Ltd, 2011-10-01)
In this paper, we study the behavior of the solutions of nonlinear parabolic problems posed in a domain that degenerates into a line segment (thin domain) which has an oscillating boundary. We combine methods from linear ...
Perturbation of a nonautonomous problem in ℝn
(2013-08-01)
In this paper, we prove a stability result about the asymptotic dynamics of a perturbed nonautonomous evolution equation in ℝn governed by a maximal monotone operator. Copyright © 2013 John Wiley & Sons, Ltd. Copyright © ...
Perturbation of a nonautonomous problem in ℝn
(2013-08-01)
In this paper, we prove a stability result about the asymptotic dynamics of a perturbed nonautonomous evolution equation in ℝn governed by a maximal monotone operator. Copyright © 2013 John Wiley & Sons, Ltd. Copyright © ...
Uniform exponential dichotomy and continuity of attractors for singularly perturbed damped wave equations
(Springer, 2006-07-01)
For eta >= 0, we consider a family of damped wave equations u(u) + eta Lambda 1/2u(t) + au(t) + Lambda u = f(u), t > 0, x is an element of Omega subset of R-N, where -Lambda denotes the Laplacian with zero Dirichlet boundary ...
Uniform exponential dichotomy and continuity of attractors for singularly perturbed damped wave equations
(Springer, 2006-07-01)
For eta >= 0, we consider a family of damped wave equations u(u) + eta Lambda 1/2u(t) + au(t) + Lambda u = f(u), t > 0, x is an element of Omega subset of R-N, where -Lambda denotes the Laplacian with zero Dirichlet boundary ...
Semilinear parabolic problems in thin domains with a highly oscillatory boundary
(PERGAMON-ELSEVIER SCIENCE LTD, 2011)
In this paper, we study the behavior of the solutions of nonlinear parabolic problems posed in a domain that degenerates into a line segment (thin domain) which has an oscillating boundary. We combine methods from linear ...
Semilinear parabolic problems in thin domains with a highly oscillatory boundary
(Pergamon-Elsevier B.V. Ltd, 2013)
Semilinear parabolic problems in thin domains with a highly oscillatory boundary
(Pergamon-Elsevier B.V. Ltd, 2011-10-01)
In this paper, we study the behavior of the solutions of nonlinear parabolic problems posed in a domain that degenerates into a line segment (thin domain) which has an oscillating boundary. We combine methods from linear ...