On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces
The aim of this paper is to prove the existence, uniqueness, and continuous dependence upon the data of a generalized solution for certain singular parabolic equations with initial and nonlocal boundary conditions. The proof is based on an a priori estimate established in nonclassical function space...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2002-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202004507 |
| Summary: | The aim of this paper is to prove the existence, uniqueness, and continuous dependence upon the data of a generalized solution for
certain singular parabolic equations with initial and nonlocal boundary conditions. The proof is based on an a priori estimate established in nonclassical function spaces, and on the density of the range of the operator corresponding to the abstract formulation of the considered problem. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |