Geodesic
Initial boundary value problem for a nonlocal in time parabolic equation
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1311-1319

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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.
Keywords: initial boundary value problem, solvability.
Mots-clés : nonlocal in time parabolic equation 
@article{SEMR_2018_15_a105,
     author = {V. N. Starovoitov},
     title = {Initial boundary value problem for a nonlocal in time parabolic equation},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1311--1319},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a105/}
}
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V. N. Starovoitov. Initial boundary value problem for a nonlocal in time parabolic equation. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1311-1319. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a105/