Periodic solutions of some nonlinear degenerate parabolic equations
نویسندگان
چکیده
منابع مشابه
Large Time Behavior of Solutions to Some Degenerate Parabolic Equations
The purpose of this paper is to study the limit in L(Ω), as t→∞, of solutions of initial-boundary-value problems of the form ut−∆w = 0 and u ∈ β(w) in a bounded domain Ω with general boundary conditions ∂w ∂η + γ(w) 3 0. We prove that a solution stabilizes by converging as t → ∞ to a solution of the associated stationary problem. On the other hand, since in general these solutions are not uniqu...
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We study the asymptotic behavior of Lipschitz continuous solutions of nonlinear degenerate parabolic equations in the periodic setting. Our results apply to a large class of Hamilton-Jacobi-Bellman equations. Defining Σ as the set where the diffusion vanishes, i.e., where the equation is totally degenerate, we obtain the convergence when the equation is uniformly parabolic outside Σ and, on Σ, ...
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Correspondence should be addressed to Albo Carlos Cavalheiro, [email protected] Received 17 May 2011; Revised 6 October 2011; Accepted 6 October 2011 Academic Editor: Toka Diagana Copyright q 2011 Albo Carlos Cavalheiro. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided...
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The scientific legacy of Isaac Newton is remembered mainly for the discovery of infinitesimal calculus, at the same time of Leibniz, and gravitational theory, which explains completely the motion of the planets. After the revolution made by Newton’s laws in the knowledge of the universe, the interest of the scientific community was centered mainly on conservative systems, due to the influence o...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1984
ISSN: 0022-247X
DOI: 10.1016/0022-247x(84)90020-9