Existence of weak solutions for a degenerate Goursat type linear problem
Analysis of PDEs
2024-11-20 v1 Functional Analysis
Abstract
For a generalization of the Gellerstedt operator with mixed-type Dirichlet boundary conditions to a suitable Tricomi domain, we prove the existence and uniqueness of weak solutions of the linear problem and for a generalization of this problem. The classical method introduced by Didenko, which study the energy integral argument, will be used to prove estimates for a specific Tricomi domain.
Keywords
Cite
@article{arxiv.2411.12116,
title = {Existence of weak solutions for a degenerate Goursat type linear problem},
author = {Olimpio Hiroshi Miyagaki and Carlos Alberto Reyes Peña and Rodrigo da Silva Rodrigues},
journal= {arXiv preprint arXiv:2411.12116},
year = {2024}
}
Comments
2 figures