Well-posedness of the Tricomi Problem for the Multidimensional Lavrent'ev-Bitsadze Equation
Year: 2024
Type: article
Abstract: Numerous applications in physics and engineering involve models with partial differential equations of mixed type. The theory of boundary-value problems for such equations in two dimensions has been well studied. However, the key problem of well-posedness of mixed problems for such equations in multidimensional bounded domains remains currently unsolved. This paper establishes a mixed domain in which the solution of the Tricomi problem for the multidimensional Lavrent'ev-Bitsadze equation has a unique classical solution.
Source: Kazakh mathematical journal.
DOI: 10.70474/05m52x96
Author: Serik Aldashev
Institution: Institute of Mathematics and Mathematical Modeling
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4402739656