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Analysis and explicit solvability of degenerate tensorial problems

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We study a two-dimensional boundary value problem described by a tensorial equation in a bounded domain. Once its more general definition is given, we conclude that its analysis is linked… Click to show full abstract

We study a two-dimensional boundary value problem described by a tensorial equation in a bounded domain. Once its more general definition is given, we conclude that its analysis is linked to the resolution of an overdetermined hyperbolic problem and hence present some discussions and considerations. Secondly, for a simplified version of the original formulation, which leads to a degenerate problem on a rectangle, we prove the existence and uniqueness of a solution under proper assumptions on the data.

Keywords: problems analysis; degenerate tensorial; tensorial problems; solvability degenerate; analysis explicit; explicit solvability

Journal Title: Boundary Value Problems
Year Published: 2018

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