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Papers by Le Thi

We study the existence and long-time behavior of solutions to a semilinear strongly degenerate pa... more We study the existence and long-time behavior of solutions to a semilinear strongly degenerate parabolic equation on R under an arbitrary polynomial growth order of the nonlinearity. To overcome some significant difficulty caused by the lack of compactness of the embeddings, the existence of global attractors is proved by combining the tail estimates method and the asymptotic a priori estimate method.

We study the existence and long-time behavior of solutions to a semilinear strongly degenerate pa... more We study the existence and long-time behavior of solutions to a semilinear strongly degenerate parabolic equation on R under an arbitrary polynomial growth order of the nonlinearity. To overcome some significant difficulty caused by the lack of compactness of the embeddings, the existence of global attractors is proved by combining the tail estimates method and the asymptotic a priori estimate method.

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