Existence of Viscosity Solutions for Weakly Coupled Cooperative Parabolic Systems with Fully Nonlinear Principle Part

Georgi Boyadzhiev () and Nikolay Kutev
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Georgi Boyadzhiev: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 8 Acad. G. Bonchev St., 1113 Sofia, Bulgaria
Nikolay Kutev: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 8 Acad. G. Bonchev St., 1113 Sofia, Bulgaria

Mathematics, 2024, vol. 12, issue 13, 1-10

Abstract: In this paper, the existence of viscosity solutions for weakly coupled, degenerate, and cooperative parabolic systems is studied in a bounded domain. In particular, we consider the viscosity solutions of parabolic systems with fully nonlinear degenerated principal symbol and linear coupling part. The maximum principle theorem is given as well.

Keywords: degenerate parabolic quasi-monotone systems; viscosity solutions; maximum principle; existence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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