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A Note on the Solution of a Class of Keldysh-Type Equations(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2013年02期
Page:
5-9
Research Field:
数学
Publishing date:

Info

Title:
A Note on the Solution of a Class of Keldysh-Type Equations
Author(s):
Zhang Kangqun; Sun Fushu; Zhao Guojun
Department of Mathematics and Physics,Nanjing Institute of Technology,Nanjing 211167,China
Keywords:
Keldysh-type equation; initial value problem; existense; singularity propogation
PACS:
O175.28
DOI:
-
Abstract:
Keldysh equation is a mathematical model which was derived in studying fluid dynamics,and also is a typical example of mixed type partial differential equations.For the initial value problem of its degenerate hyperbolic part with nonzero source term,we find a solution by use of partial Fourier transformation and ODE’s method,and then derive its a global uniform estimate.Based on it and the fixed point theorem,we establish the global existence for solution of a class of semilinear problem.Meanwhile,we find an example to desmontrate the propogation of singularity which is only along one of the characteristics.

References:

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Memo:
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Last Update: 2013-06-30