On the Decay of Almost Periodic Solutions of Anisotropic Degenerate Parabolic-Hyperbolic Equations
Abstract
We discuss the well-posedness and decay of Besicovitch almost periodic solutions for a class of nonlinear degenerate anisotropic hyperbolic-parabolic equations. In our definition of weak entropy solution the initial data is only assumed in a weak sense, and in this connection the strong trace of the solution in the initial time hyperplane is also established.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2016
- DOI:
- 10.48550/arXiv.1610.07958
- arXiv:
- arXiv:1610.07958
- Bibcode:
- 2016arXiv161007958F
- Keywords:
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- Mathematics - Analysis of PDEs;
- 35K59 (Primary);
- 35L65;
- 35K15 (Secondary)