SOME MIXED PROBLEMS FOR SEMILINEAR PARABOLIC TYPE EQUATION

Fatma Gamze Duzgun; Kamal N. Soltanov

doi:10.11948/2014013

2014 Volume 4 Issue 3

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Fatma Gamze Duzgun, Kamal N. Soltanov. SOME MIXED PROBLEMS FOR SEMILINEAR PARABOLIC TYPE EQUATION[J]. Journal of Applied Analysis & Computation, 2014, 4(3): 271-281. doi: 10.11948/2014013

Citation:

Fatma Gamze Duzgun, Kamal N. Soltanov. SOME MIXED PROBLEMS FOR SEMILINEAR PARABOLIC TYPE EQUATION[J]. Journal of Applied Analysis & Computation, 2014, 4(3): 271-281. doi: 10.11948/2014013

SOME MIXED PROBLEMS FOR SEMILINEAR PARABOLIC TYPE EQUATION

Department of Mathematics, Hacettepe Uni., 06800, Beytepe, Ankara, Turkey

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Abstract

Abstract

In this paper, some mixed problem with third type boundary value for a semilinear parabolic equation is investigated. Here the solvability theorems for considered problem and the uniqueness theorem for a model case of the problem are showed.
- Semilinear parabolic equation /
- third type boundary value problem /
- existence and uniqueness theorems /
- sublinear case /
- linear case /
- super linear case
MSC: 35D30;35K58;35M12

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