Global solutions of abstract quasi-linear evolution equations of "hyperbolic" type

被引：3

作者：

Tanaka, N ^{[1
]}

机构：

[1] Okayama Univ, Fac Sci, Dept Math, Okayama 7008530, Japan

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1999年 / 110卷 / 1期

关键词：

D O I：

10.1007/BF02808182

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The problem of existence and uniqueness of global classical solutions of abstract quasi-linear evolution equations is considered in a general Banach space. The results obtained here are applied to the initial value problems for hyperbolic partial differential equations.

引用

页码：219 / 252

页数：34

共 50 条

[1] Global solutions of abstract quasi-linear evolution equations of “hyperbolic” type
Naoki Tanaka
Israel Journal of Mathematics, 1999, 110 : 219 - 252
[2] GLOBAL WELLPOSEDNESS FOR A CLASS OF QUASI-LINEAR ABSTRACT EVOLUTION PROBLEMS OF HYPERBOLIC TYPE
ASCOLI, D
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1990, 4B (03): : 661 - 677
[3] GLOBAL CONTINUOUS SOLUTIONS OF HYPERBOLIC SYSTEMS OF QUASI-LINEAR EQUATIONS
JOHNSON, JL
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 73 (05) : 639 - &
[4] GLOBAL SOLUTIONS OF CERTAIN HYPERBOLIC SYSTEMS OF QUASI-LINEAR EQUATIONS
JOHNSON, JL
SMOLLER, JA
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 73 (05) : 666 - &
[5] GLOBAL SOLUTIONS FOR CERTAIN SYSTEMS OF QUASI-LINEAR HYPERBOLIC EQUATIONS
JOHNSON, JL
SMOLLER, JA
JOURNAL OF MATHEMATICS AND MECHANICS, 1967, 17 (06): : 561 - &
[6] A remark on nonexistence of global solutions to quasi-linear hyperbolic and parabolic equations
Erdem, D
Kalantarov, VK
APPLIED MATHEMATICS LETTERS, 2002, 15 (05) : 585 - 590
[7] ALMOST GLOBAL EXISTENCE OF SOLUTIONS OF QUASI-LINEAR HYPERBOLIC-EQUATIONS
MILANI, AJ
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1989, 11 (01) : 65 - 70
[8] Global solutions to quasi-linear hyperbolic systems of viscoelasticity
Dharmawardane, Priyanjana M. N.
Nakamura, Tohru
Kawashima, Shuichi
KYOTO JOURNAL OF MATHEMATICS, 2011, 51 (02) : 467 - 483
[9] The Global Solutions Problem for Population Quasi-Linear Equations of Parabolic Type
Muxamediyeva, D. K.
TECHNO-SOCIETAL 2018: PROCEEDINGS OF THE 2ND INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES FOR SOCIETAL APPLICATIONS - VOL 1, 2020, : 345 - 352
[10] A class of abstract quasi-linear evolution equations of second order
Tanaka, N
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2000, 62 : 198 - 212

← 1 2 3 4 5 →