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Evolutionary weighted p-Laplacian with boundary degeneracy
Authors:Jingxue Yin
Institution:Department of Mathematics, Jilin University, Changchun 130012, PR China
Abstract:The paper concerns the well-posedness problem of an evolutionary weighted p-Laplacian with boundary degeneracy. Different from the classical theory for linear equations, it is shown that the degenerate portion of the boundary should be decomposed into two parts: the strongly degenerate boundary on which the equation exhibits hyperbolic characteristics and the weakly degenerate boundary on which the equation still exhibits parabolic characteristics. We formulate reasonably the boundary value condition and establish the existence and uniqueness theorems.
Keywords:35K65  35K55
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