Existence of Weak Solutions for a Degenerate Goursat‐Type Linear Problem
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.
Authors
- Rodrigo da Silva Rodrigues (ORCID: https://orcid.org/0000-0001-6811-7625)
- Olı́mpio H. Miyagaki (ORCID: https://orcid.org/0000-0002-5608-3760)
- C. Peña (ORCID: https://orcid.org/0009-0005-8357-5698)
Institutions
- Universidade Federal de São Carlos (BR)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-07-01
- DOI
- https://doi.org/10.1002/mma.11181
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior