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Problem with an Analog of the Frankl Condition on an Internal Characteristic for an Equation of Mixed Type

Problem with an Analog of the Frankl Condition on an Internal Characteristic for an Equation of... For the equation \documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$(\mathrm {sign}\thinspacey)|y|^{m}u_{{xx}}+u_{{yy}}-(m/2y)u_{y}=0$$\end{document}considered in a mixed domain, we prove theorems on the uniqueness and existence of a solution ofa problem with a missing Tricomi condition on the boundary characteristic and with an analog ofthe Frankl condition on an internal characteristic and on the degeneracy segment. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Problem with an Analog of the Frankl Condition on an Internal Characteristic for an Equation of Mixed Type

Differential Equations , Volume 57 (6) – Jul 8, 2021

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References (23)

Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2021
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/s0012266121060033
Publisher site
See Article on Publisher Site

Abstract

For the equation \documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$(\mathrm {sign}\thinspacey)|y|^{m}u_{{xx}}+u_{{yy}}-(m/2y)u_{y}=0$$\end{document}considered in a mixed domain, we prove theorems on the uniqueness and existence of a solution ofa problem with a missing Tricomi condition on the boundary characteristic and with an analog ofthe Frankl condition on an internal characteristic and on the degeneracy segment.

Journal

Differential EquationsSpringer Journals

Published: Jul 8, 2021

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