Initial boundary value problem for a nonlocal in time parabolic equation. (English) Zbl 1401.35198

Summary: This paper deals with a quasi-linear parabolic partial differential equation that includes a nonlocal in time term. This term contains the integral of the solution over the entire time interval, where the problem is considered. The weak solvability of the initial boundary value problem for this equation is proven.


35K58 Semilinear parabolic equations


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