Displaying similar documents to “Kuramoto-Sivashinsky equation in domains with moving boundaries.”

Weak solutions of a parabolic-elliptic type system for image inpainting

Zhengmeng Jin, Xiaoping Yang (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper we consider the initial boundary value problem of a parabolic-elliptic system for image inpainting, and establish the existence and uniqueness of weak solutions to the system in dimension two.

An extension of Rothe's method to non-cylindrical domains

Komil Kuliev, Lars-Erik Persson (2007)

Applications of Mathematics

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In this paper Rothe’s classical method is extended so that it can be used to solve some linear parabolic boundary value problems in non-cylindrical domains. The corresponding existence and uniqueness theorems are proved and some further results and generalizations are discussed and applied.