wave equation with boundary memory source term and nonlocal

XV WORKSHOP ON PARTIAL DIFFERENTIAL EQUATIONS
RIO2016
WAVE EQUATION WITH BOUNDARY MEMORY SOURCE TERM AND
NONLOCAL INTEGRAL CONDITION.
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Abstract. The aim of this paper is the investigation of a problem generated by a wave
equation with boundary memory source term and second kind nonlocal integral condition.By the use of Galerkin procedure, we prove the global existence of the weak solutions.
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Authors.
(1) Carole Huamán Oriundo. Instituto de Investigación, Facultad de Ciencias Matemáticas,
UNMSM, Lima, Perú
E-mail: cho26 [email protected]
(2) Eugenio Cabanillas Lapa. Instituto de Investigación, Facultad de Ciencias Matemáticas,
UNMSM, Lima, Perú
E-mail: [email protected]
References.
(1) A. I. Kozhanov and L. S. Pulkina; On the Solvability of Boundary Value Problems with a Nonlocal
Boundary Condition of Integral Form for Multidimensional Hyperbolic Equations, Differential
Equations, 2006, Vol. 42, No. 9, pp. 12331246.
(2) F. Sun and M.Wang; Global solutions for a nonlinear hyperbolic equation with boundary memory
source term , J.Ineq and App., vol 2006,Article 60734, pp: 1-16.
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