Well-posedness of initial boundary value problems and properties of solutions for parabolic equations with nonlinear nonlocal sources. (English. Russian original) Zbl 0832.45008
Russ. Acad. Sci., Dokl., Math. 49, No. 3, 484-488 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 2, 161-164 (1994).
Results concerning the existence, the nonexistence and the uniqueness of global solutions of the Cauchy problem for nonlinear parabolic integro- differential equations are received. These results are proved by the sub- and super-solutions method.
Reviewer: V.Pavlenko (Chelyabinsk)
