Nonexistence results for a degenerate Goursat type Problem
Analysis of PDEs
2024-11-07 v1 Functional Analysis
Abstract
For a generalization of the Gellerstedt operator with Dirichlet boundary conditions in a Tricomi domain. We establish Poho\v{z}aev-type identities and prove the nonexistence of nontrivial regular solutions. Furthermore, we investigate the critical exponent phenomenon for power-type nonlinearities, characterized by the critical exponent of a weighted Sobolev embedding.
Keywords
Cite
@article{arxiv.2411.03970,
title = {Nonexistence results for a degenerate Goursat type Problem},
author = {Carlos Alberto Reyes Peña and Olimpio Hiroshi Miyagaki and Rodrigo da Silva Rodrigues},
journal= {arXiv preprint arXiv:2411.03970},
year = {2024}
}
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4 figures