Remarks on weak solutions for a nonlocal parabolic problem
We prove a result on existence and uniqueness of weak solutions for a diffusion problem associated with nonlinear diffusions of nonlocal type studied by Chipot and Lovat (1999) by an application of the fixed point result of Schauder. Moreover, making use of Faedo-Galerkin approximation, coupled with...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/82654 |
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| Summary: | We prove a result on existence and uniqueness of weak solutions
for a diffusion problem associated with nonlinear diffusions of
nonlocal type studied by Chipot and Lovat (1999) by an
application of the fixed point result of Schauder. Moreover,
making use of Faedo-Galerkin approximation, coupled with some
technical ideas, we establish a result on existence of periodic
solution. |
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| ISSN: | 0161-1712 1687-0425 |