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Mathematical Physics and Computer Simulation, 2017, Volume 20, Issue 3, Pages 65–76
DOI: https://doi.org/10.15688/mpcm.jvolsu.2017.3.5 (Mi vvgum183) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

On Phragmén — Lindelöf principle for Non-divergence Type Elliptic Equations and Mixed Boundary conditions

A. I. Ibragimova, A. I. Nazarovbc

a Texas Tech University
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
c Saint Petersburg State University
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DOI: https://doi.org/10.15688/mpcm.jvolsu.2017.3.5
Abstract: The paper is dedicated to qualitative study of the solution of the Zaremba-type problem in Lipschitz domain with respect to the elliptic equation in non-divergent form. Main result is Landis type Growth Lemma in spherical layer for Mixed Boundary Value Problem in the class of “admissible domain”. Based on the Growth Lemma Phragmén — Lindelöf theorem is proved at junction point of Dirichlet boundary and boundary over which derivative in non-tangential direction is defined.
Keywords: elliptic equation in non-divergent form, Mixed Boundary Value Problem, Growth Lemma, Phragmén — Lindelöf theorem, Zaremba-type problem.
Funding agency Grant number
National Science Foundation 1412796
Russian Foundation for Basic Research 15-01-07650
Akif Ibraguimov partially supported by DMS NSF grant № 1412796 and Alexander I. Nazarov supported by RFBR grant № 15-01-07650
Document Type: Article
UDC: 517
BBC: 22.161
Language: English
Citation: A. I. Ibragimov, A. I. Nazarov, “On Phragmén — Lindelöf principle for Non-divergence Type Elliptic Equations and Mixed Boundary conditions”, Mathematical Physics and Computer Simulation, 20:3 (2017), 65–76
Citation in format AMSBIB
\Bibitem{IbrNaz17}
\by A.~I.~Ibragimov, A.~I.~Nazarov
\paper On Phragm\'en --- Lindel\"of principle for Non-divergence Type Elliptic Equations and Mixed Boundary conditions
\jour Mathematical Physics and Computer Simulation
\yr 2017
\vol 20
\issue 3
\pages 65--76
\mathnet{http://mi.mathnet.ru/vvgum183}
\crossref{https://doi.org/10.15688/mpcm.jvolsu.2017.3.5}
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