Existence and Uniqueness of a Solution to a Wentzell’s Problem with Non-Linear Delays
In this work, we study the existence and uniqueness of the solution to a wave equation with dynamic Wentztell-type boundary conditions on a part of the boundary <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-04-01
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| Series: | Computer Sciences & Mathematics Forum |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2813-0324/7/1/33 |
| Summary: | In this work, we study the existence and uniqueness of the solution to a wave equation with dynamic Wentztell-type boundary conditions on a part of the boundary <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mo>Γ</mo><mn>1</mn></msub></semantics></math></inline-formula> of the domain <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Ω</mo></semantics></math></inline-formula> with non-linear delays in non-linear dampings in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Ω</mo></semantics></math></inline-formula> and on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mo>Γ</mo><mn>1</mn></msub></semantics></math></inline-formula>, using the Faedo–Galerkin method. |
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| ISSN: | 2813-0324 |