On the solutions of some classes of PDE with singular coefficients

被引：2

作者：

Bentrad, A. ^{[1
]}

机构：

[1] Univ Reims, Lab Math Fre 2011, Reims, France

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2020年 / 65卷 / 05期

关键词：

Cauchy problem; Appell's function F-3; singular coefficients; singular solutions; EQUATION;

D O I：

10.1080/17476933.2019.1623207

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the linear Cauchy problem with analytic data for two models of second order operators with singular coefficients. We show that the propagation of the singularities of the coefficients of the subprincipal part of the operators generate singularities on the union of the characteristic surfaces, on the surfaces , and on the characteristic cone too.

引用

页码：765 / 774

页数：10

共 50 条

[1] NUMERICAL SOLUTIONS OF PDE WITH SINGULAR COEFFICIENTS
CLEOPA, N
SIAM REVIEW, 1971, 13 (02) : 262 - &
[2] Exact solutions of a PDE with singular coefficients
Bentrad, A.
Kerker, M. A.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2015, 60 (08) : 1068 - 1076
[3] Existence of solutions for some classes of singular Hamiltonian systems
Alves, CO
Corrêa, FJSA
Gonçalves, JVA
ADVANCED NONLINEAR STUDIES, 2005, 5 (02) : 265 - 278
[4] The Appell's function F3 and the solutions of a PDE with singular coefficients
Bentrad, A.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2019, 64 (01) : 171 - 180
[5] Exact solutions for some classes of non-elliptic Cauchy-Riemann type systems with singular coefficients
Bentrad, A.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024,
[6] Construction of some classes of nonlinear PDE's admitting soliton solutions
Dellal, A.
Henderson, J.
Ouahab, A.
DISSERTATIONES MATHEMATICAE, 2017, (523) : 1 - 98
[7] Pulse positive periodic solutions for some classes of singular nonlinearities
Nieto, Juan J.
Uzal, Jose M.
APPLIED MATHEMATICS LETTERS, 2018, 86 : 134 - 140
[8] Quasi-exponential solutions for some PDE with coefficients of limited regularity
Panchenko, A
DIRECT AND INVERSE PROBLEMS OF MATHEMATICAL PHYSICS, 2000, 5 : 161 - 184
[9] NONEXISTENCE OF SOLUTIONS TO SOME INEQUALITIES AND SYSTEMS WITH SINGULAR COEFFICIENTS ON THE BOUNDARY
Uvarova, Liudmila
Salieva, Olga
Galakhov, Evgeny
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[10] Bounded solutions for some classes of difference equations with operator coefficients
Horodnii M.F.
Lahoda O.A.
Ukrainian Mathematical Journal, 2001, 53 (11) : 1817 - 1824

← 1 2 3 4 5 →