In this work, we investigate a mixed problem with boundary condition of third type for a nonlinear diffusion equation having nonlocal term. Existence and uniqueness of a solution of the posed problem are proved under fairly general conditions. Moreover, we obtain some results on the behaviour of the solution and the existence of an absorbing set for the problem under consideration.

Existence, uniqueness and behaviour of solutions for a nonlinear diffusion equation with third type boundary value condition

Duzgun, Fatma Gamze
;
2015-01-01

Abstract

In this work, we investigate a mixed problem with boundary condition of third type for a nonlinear diffusion equation having nonlocal term. Existence and uniqueness of a solution of the posed problem are proved under fairly general conditions. Moreover, we obtain some results on the behaviour of the solution and the existence of an absorbing set for the problem under consideration.
2015
Nonlinear diffusion equations
Robin boundary condition
non-local effect
existence and uniqueness
behavior of solution
absorbing set
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/425463
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