On weak solutions for hyperbolic differential inclusion with discontinuous nonlinearities (Q1413257)
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scientific article; zbMATH DE number 2003972
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On weak solutions for hyperbolic differential inclusion with discontinuous nonlinearities |
scientific article; zbMATH DE number 2003972 |
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On weak solutions for hyperbolic differential inclusion with discontinuous nonlinearities (English)
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16 November 2003
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The paper concerns with a mixed problem for the following quasilinear hyperbolic equation with a strong damping \[ u_{tt} - \nabla(|\nabla u|^{p-2} \nabla u) - \Delta u_t + \Xi = f, \] where \( \Xi(t,x) \in \varphi(u'(t,x)) \) and \( \varphi\) is a discontinuous nonlinear set valued mapping. The existence of global weak solutions as well as the asymptotic behavior of them are studied.
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mixed problem
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0.9672876
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0.9373134
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0.9237517
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0.9223515
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0.92162573
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0.9110902
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0.9081453
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0.9076194
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