About Dirichlet boundary value problem for the heat equation in the infinite angular domain-Reference-Cited by-同舟云学术

About Dirichlet boundary value problem for the heat equation in the infinite angular domain

Published:2014-09-25 Issue:1 Volume:2014 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

he Jenaliyev Muvasharkhan,Amangaliyeva Meiramkul,Kosmakova Minzilya,Ramazanov Murat

Abstract

Abstract In this paper it is established that in an infinite angular domain for Dirichlet problem of the heat conduction equation the unique (up to a constant factor) non-trivial solution exists, which does not belong to the class of summable functions with the found weight. It is shown that for the adjoint boundary value problem the unique (up to a constant factor) non-trivial solution exists, which belongs to the class of essentially bounded functions with the weight found in the work. It is proved that the operator of a boundary value problem of heat conductivity in an infinite angular domain in a class of growing functions is Noetherian with an index which is equal to minus one. MSC: 35D05, 35K20, 45D05.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13661-014-0213-4.pdf

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