Theorems on the complete set of isomorphisms in the \({\mathcal L}_ 2\)- theory of generalized solutions of boundary value problems for a Petrovskiĭ parabolic equation. (English. Russian original) Zbl 0609.35045
Math. USSR, Sb. 56, 447-471 (1987); translation from Mat. Sb., Nov. Ser. 128(170), No. 4, 451-473 (1985).
The author considers the solvability of a certain type of linear higher order parabolic equations in spaces of generalized functions. He finds necessary and sufficient conditions for the existence of solutions in the spaces introduced in the paper.
Reviewer: P.Polacik
MSC:
| 35K20 | Initial-boundary value problems for second-order parabolic equations |
| 35D05 | Existence of generalized solutions of PDE (MSC2000) |
