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ESTIMATES OF GREEN'S FUNCTION FOR SECOND‐ORDER PARABOLIC EQUATIONS NEAR EDGES
Author(s) -
Kozlov V. A.,
Rossmann J.
Publication year - 2015
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579315000091
Subject(s) - mathematics , pointwise , mathematical analysis , order (exchange) , green's function , function (biology) , domain (mathematical analysis) , boundary value problem , parabolic partial differential equation , boundary values , partial differential equation , finance , evolutionary biology , economics , biology
We consider the first boundary value problem for a second‐order parabolic equation with variable coefficients in the domain K × R n ‐ m, where K is an m ‐dimensional cone. The main results of the paper are pointwise estimates of the Green's function.