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Research Article Open access CC BY 3.0

On the Solvability of an Evolution Problem with Weighted Integral Boundary Conditions in Sobolev Function Spaces with a Priori Estimate and Fourier’s Method

DJIBIBE Moussa Zakari, TCHARIE Kokou

Journal of Advances in Mathematics and Computer Science · pp. 801–810 · Published 24 Aug 2013

10.9734/BJMCS/2013/4392

Abstract

Aims/ The aims of this paper are to prove existence and uniqueness of following integral boundary conditions mixed problem for parabolic equation : The proofs are based on a priori estimates established in Sobolev function spaces and Fourier’s method.

Fourier’s method A priori Estimate Nonlocal conditions Mixed Problem Parabolic Equation Sobolev Espace

Cited by 2

A new numerical method for parabolic fractional equation with purely nonlocal conditions

M. Z. Djibibe, K. Tcharie · Nonlinear Analysis and Differential Equations · 2019

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