<abstract xmlns="http://www.w3.org/1999/xhtml"><p> This paper describes the solvability of mixed problem for nonlinear ultraparabolic equation with degeneration. The result is obtained in the cases of the weak and the strong degenerations. The conditions of solvability depend on the relations between the coefficients of the equation and the parameter of degeneration.</p></abstract>

This paper describes the solvability of mixed problem for nonlinear ultraparabolic equation with degeneration. The result is obtained in the cases of the weak and the strong degenerations. The conditions of solvability depend on the relations between the coefficients of the equation and the parameter of degeneration.

Mixed problem for degenerate nonlinear ultraparabolic equation

National Forestry Engineering University of Ukraine Department of Mathematics Generala Chuprynky str. 103 79057-L’viv UKRAINE

Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine Naukova 3b str., dep. 26 79060-L’viv UKRAINE

Tatra Mountains Mathematical Publications

{"article-title":"Mixed problem for degenerate nonlinear ultraparabolic equation"}

This paper describes the solvability of mixed problem for nonlinear ultraparabolic equation with degeneration. The result is obtained in the cases of the weak...

Mixed problem for degenerate nonlinear ultraparabolic equation

Published Online: Nov 12, 2012

Page range: 203 - 214

DOI: https://doi.org/10.2478/v10127-009-0038-1

Keywords
degenerate ultraparabolic equation, mixed problem, weak solution, existence of solution.

This content is open access.

Mixed problem for degenerate nonlinear ultraparabolic equation

Published Online: Nov 12, 2012

Page range: 203 - 214

DOI: https://doi.org/10.2478/v10127-009-0038-1

Keywordsdegenerate ultraparabolic equation, mixed problem, weak solution, existence of solution.

This content is open access.

Keywords
degenerate ultraparabolic equation, mixed problem, weak solution, existence of solution.