Global Nonexistence for a system of nonlinear viscoelastic wave equations with p-Laplacian operator

Authors

  • Teófanes Quispe Méndez Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas. Lima, Perú

DOI:

https://doi.org/10.15381/pes.v21i2.15711

Keywords:

System of nonlinear viscoelastic wave equations, p-Laplacian operator, global nonexistence, blow-up of solutions

Abstract

We consider a mixed problem for a system of nonlinear viscoelastic wave equations with p-Laplacian operator. Under certain conditions on the relaxation functions and the source terms, using the indirect method, we prove a result of global nonexistence for certain solutions with nonpositive initial energy as well as with positive initial energy.

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Published

2019-01-17

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Section

Artículos originales

How to Cite

Global Nonexistence for a system of nonlinear viscoelastic wave equations with p-Laplacian operator. (2019). Pesquimat, 21(2), 1-16. https://doi.org/10.15381/pes.v21i2.15711