Open AccessOn a homogeneous parabolic problem in an infinite corner domain
Author(s) -
Muvasharkhan Jenaliyev,
M.I. Ramazanov
Publication year - 2018
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1803965j
Subject(s) - mathematics , homogeneous , bounded function , domain (mathematical analysis) , mathematical analysis , class (philosophy) , constant (computer programming) , homogeneous function , pure mathematics , combinatorics , artificial intelligence , computer science , programming language
In addition to the trivial solution in the class of essentially bounded functions with a given weight for the Solonnikov-Fasano homogeneous parabolic problem in an infinite angular domain we establish the existence of the nontrivial solution, up to a constant factor.