LOCAL EXISTENCE AND GLOBAL NONEXISTENCE FOR A SYSTEM f OF NONLINEAR WAVE EQUATIONS WITH p-LAPLACIAN OPERATOR
DOI:
https://doi.org/10.15381/pes.v15i2.9614Keywords:
Local solution, Calerkin method, Blow-up of solutions, System the wave equations with p-Laplacian operator.Abstract
We consider a mixed problem for a system of nonlinear wave equations with p-Laplacian operator and with dissipative strong term. We prove the local existence of solutions by Galerkin method and blow-up of' solutions by the energy method. We give some estimates for' the life span of solutions.
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Copyright (c) 2012 Teófanes Quispe Méndez, Yolanda Silvia Santiago Ayala, Félix Pariona Vilca
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