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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

References (6)

  1. 1 Initial‐boundary value problem with a nonlocal condition for a viscosity equation [DOI]
  2. 2 Mixed problem with integral conditions for a third order parabolic equation [DOI]
  3. 3 On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces [DOI]
  4. 4 Parabolic Equations with Nonlocal Conditions
  5. 5 Continuous Dependence of Solutions to Mixed Boundary Value Problems for a Parabolic Equation
  6. 6 An Energy Inequality and Its Applications of Nonlocal Boundary Conditions of Mixed Problem for Singular Parabolic Equations in Nonclassical Function Spaces [DOI]

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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