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/2013/4392Abstract
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.
References (6)
- 1 Initial‐boundary value problem with a nonlocal condition for a viscosity equation [DOI]
- 2 Mixed problem with integral conditions for a third order parabolic equation [DOI]
- 3 On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces [DOI]
- 4 Parabolic Equations with Nonlocal Conditions
- 5 Continuous Dependence of Solutions to Mixed Boundary Value Problems for a Parabolic Equation
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Cited by 2
Bangan Soampa, M. Z. Djibibe · 2020
M. Z. Djibibe, K. Tcharie · Nonlinear Analysis and Differential Equations · 2019
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