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On Dirichlet Problem of Tricomi-Type Equationin Rectangular Domains(PDF)

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

Issue:
2016年01期
Page:
29-
Research Field:
数学
Publishing date:

Info

Title:
On Dirichlet Problem of Tricomi-Type Equationin Rectangular Domains
Author(s):
Zhang Kangqun; Li Yuchen
Department of Mathematics and Physics，Nanjing Institute of Technology，Nanjing 211167，China
Keywords:
Tricomi-type equation; Dirichlet problem; well-posedness; ill-posedness
PACS:
O175.28
DOI:
-
Abstract:
Dirichlet problem of inhomogeneous Tricomi type equation in the rectangular domain Ω={（t1，t0）×（0，π）：t1≤0，t0>0} is discussed. For t1=0，we give the solution a priori estimate. For t1<0，we show the Dirichlet problem is ill-posedness in Hadamard’s sense by constructing a counterexample.

References:

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Last Update: 2016-03-30