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Cannon, J. R, The solution of the heat equation subject to the specification of energy, Quart.Appl. Math., 21 (2). 155-160. 1963.

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Article

On a Nonlocal Problem with the Second Kind Integral Condition for a Parabolic Equation

1Department of Mathematics, the University of Dodoma, Dodoma, Tanzania


International Journal of Partial Differential Equations and Applications. 2014, Vol. 2 No. 4, 62-67
DOI: 10.12691/ijpdea-2-4-1
Copyright © 2014 Science and Education Publishing

Cite this paper:
Olga Danilkina. On a Nonlocal Problem with the Second Kind Integral Condition for a Parabolic Equation. International Journal of Partial Differential Equations and Applications. 2014; 2(4):62-67. doi: 10.12691/ijpdea-2-4-1.

Correspondence to: Olga  Danilkina, Department of Mathematics, the University of Dodoma, Dodoma, Tanzania. Email: olga.danilkina@udom.ac.tz

Abstract

In this article we consider a nonlocal problem with the second kind integral condition for a parabolic equation. Under some conditions on initial data we proved existence and uniqueness of a generalized solution applying the method of a priori estimates and a parameter continuation method.

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