Cauchy problem for nonlinear p-evolution equations

被引：8

作者：

Agliardi, Rossella ^{[1
]}

Zanghirati, Luisa

机构：

[1] Univ Bologna, Dept Matemat, I-40126 Bologna, Italy

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2009年 / 133卷 / 04期

关键词：

p-Evolution equations; Energy estimates; Sobolev spaces; PARTIAL-DIFFERENTIAL EQUATIONS; SCHRODINGER TYPE; SYMMETRIZATIONS; OPERATORS; TIME;

D O I：

10.1016/j.bulsci.2008.08.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The local solvability of the Cauchy problem in Sobolev spaces is studied for a class of nonlinear partial differential equations incorporating weakly hyperbolic and Schrodinger equations. (C) 2008 Elsevier Masson SAS. All rights reserved.

引用

页码：406 / 418

页数：13

共 15 条

[1] Cauchy problem for evolution equations of Schrodinger type
Agliardi, R
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 180 (01) : 89 - 98
[2] Cauchy problem for p-evolution equations
Agliardi, R
[J]. BULLETIN DES SCIENCES MATHEMATIQUES, 2002, 126 (06): : 435 - 444
[3] Agliardi R., 2003, Mathematica Slovaca, V53, P189
[4] The Cauchy problem for quasilinear SG-hyperbolic systems
Cappiello, Marco
Zanghirati, Luisa
[J]. MATHEMATISCHE NACHRICHTEN, 2007, 280 (07) : 728 - 739
[5] HYPERBOLIC OPERATORS WITH CHARACTERISTICS OF CONSTANT MULTIPLICITY
CHAZARAIN, J
[J]. ANNALES DE L INSTITUT FOURIER, 1974, 24 (01) : 173 - 202
[6] The Cauchy problem for nonlinear hyperbolic equations with Levi condition
Cicognani, M
Zanghirati, L
[J]. BULLETIN DES SCIENCES MATHEMATIQUES, 1999, 123 (06): : 413 - 435
[7] DEPARIS JC, 1972, J MATH PURE APPL, V51, P231
[8] FLASCKA H, 1971, ADV MATH, V6, P349
[9] Cauchy problem of certain equations of Schrodinger type
Gourdin, D
Ngnosse, S
Takeuchi, J
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 324 (10): : 1111 - 1116
[10] Kumano-go H., 1981, Pseudo-Differential Operators

← 1 2 →