Blow-up of certain solutions to nonlinear wave equations in the Kirchhoff-type equation with variable exponents and positive initial energy (Q2025750)
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scientific article; zbMATH DE number 7348533
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Blow-up of certain solutions to nonlinear wave equations in the Kirchhoff-type equation with variable exponents and positive initial energy |
scientific article; zbMATH DE number 7348533 |
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Blow-up of certain solutions to nonlinear wave equations in the Kirchhoff-type equation with variable exponents and positive initial energy (English)
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17 May 2021
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Summary: This paper is concerned with the blow-up of certain solutions with positive initial energy to the following quasilinear wave equation: \(u_{tt}-\mathcal{M} (\mathcal{N} u(t)) \Delta_{p(\cdot)} u+g(u_t)=f(u)\). This work generalizes the blow-up result of solutions with negative initial energy.
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\(p(x)\)-Laplacian operator
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