Classical Solution of the First Mixed Problem for the Wave Equation in a Curvilinear Half-Strip
| Autor: | V. I. Korzyuk, S. N. Naumavets, I. S. Kozlovskaya |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Curvilinear coordinates Partial differential equation Smoothness (probability theory) General Mathematics 010102 general mathematics Mathematical analysis 02 engineering and technology Wave equation 01 natural sciences Method of undetermined coefficients 020901 industrial engineering & automation Ordinary differential equation Uniqueness 0101 mathematics Representation (mathematics) Analysis Mathematics |
| Zdroj: | Differential Equations. 56:98-108 |
| ISSN: | 1608-3083 0012-2661 |
| Popis: | We consider the solution of the first mixed problem for the wave equation with two independent variables in a curvilinear half-strip. Under certain smoothness conditions and matching conditions imposed on the given functions, the uniqueness of this solution is proved and its analytical representation is determined. A method for the local construction of a particular solution to the inhomogeneous equation is proposed. |
| Databáze: | OpenAIRE |
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