A note on the life-span of classical solutions to nonlinear wave equations in four space dimensions

Li Ta-Tsien; Zhou Yi

doi:10.1512/iumj.1995.44.2026

A note on the life-span of classical solutions to nonlinear wave equations in four space dimensions

Indiana University Mathematics Journal ◽

10.1512/iumj.1995.44.2026 ◽

1995 ◽

Vol 44 (4) ◽

pp. 0-0 ◽

Cited By ~ 1

Author(s):

Li Ta-Tsien ◽

Zhou Yi

Keyword(s):

Life Span ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Classical Solutions

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Lower Bounds of the Life-Span of Small Classical Solutions for Nonlinear Wave Equations

Microlocal Analysis and Nonlinear Waves - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-1-4613-9136-4_9 ◽

1991 ◽

pp. 125-136 ◽

Cited By ~ 1

Author(s):

Li Ta-Tsien

Keyword(s):

Life Span ◽

Nonlinear Wave ◽

Lower Bounds ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Classical Solutions

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Life-span of classical solutions to fully nonlinear wave equations—II

Nonlinear Analysis ◽

10.1016/0362-546x(92)90054-i ◽

1992 ◽

Vol 19 (9) ◽

pp. 833-853 ◽

Cited By ~ 11

Author(s):

Li Ta-Tsien ◽

Zhou Yi

Keyword(s):

Life Span ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Classical Solutions ◽

Fully Nonlinear

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Life-span of classical solutions to two dimensional fully nonlinear wave equations

Journal of Functional Analysis ◽

10.1016/j.jfa.2016.03.016 ◽

2016 ◽

Vol 270 (11) ◽

pp. 4087-4116

Author(s):

Wei Han ◽

Zhen Jin

Keyword(s):

Life Span ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Classical Solutions ◽

Two Dimensional ◽

Fully Nonlinear

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Lower bounds for the life-span of solutions of nonlinear wave equations in three dimensions

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.79.12.3933 ◽

1982 ◽

Vol 79 (12) ◽

pp. 3933-3934 ◽

Cited By ~ 2

Author(s):

F. John

Keyword(s):

Life Span ◽

Nonlinear Wave ◽

Lower Bounds ◽

Wave Equations ◽

Three Dimensions ◽

Nonlinear Wave Equations

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Global classical solutions to fully nonlinear wave equations

World Congress of Nonlinear Analysts '92 ◽

10.1515/9783110883237.67 ◽

1996 ◽

pp. 67-72

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Classical Solutions ◽

Fully Nonlinear ◽

Global Classical Solutions

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Existence of global classical solutions of the initial-boundary value problem for some nonlinear wave equations

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(90)90343-e ◽

1990 ◽

Vol 146 (1) ◽

pp. 217-240 ◽

Cited By ~ 7

Author(s):

Mitsuhiro Nakao

Keyword(s):

Boundary Value Problem ◽

Nonlinear Wave ◽

Wave Equations ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Nonlinear Wave Equations ◽

Classical Solutions ◽

Global Classical Solutions ◽

Initial Boundary Value

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Bounded, periodic and almost periodic classical solutions of some nonlinear wave equations with a dissipative term

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/03030375 ◽

1978 ◽

Vol 30 (3) ◽

pp. 375-394 ◽

Cited By ~ 16

Author(s):

Mitsuhiro NAKAO

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Classical Solutions ◽

Almost Periodic ◽

Dissipative Term

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Global classical solutions to the cauchy problem for nonlinear wave equations

Lecture Notes in Mathematics - Nonlinear Hyperbolic Problems ◽

10.1007/bfb0083876 ◽

1989 ◽

pp. 198-202

Author(s):

Li Ta-tsien ◽

Chen Yun-mei

Keyword(s):

Cauchy Problem ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Classical Solutions ◽

Global Classical Solutions ◽

The Cauchy Problem

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Lower Bounds for the Life Span of Solutions of Nonlinear Wave Equations in Three Dimensions

Fritz John ◽

10.1007/978-1-4612-5406-5_40 ◽

1983 ◽

pp. 589-623

Author(s):

Fritz John

Keyword(s):

Life Span ◽

Nonlinear Wave ◽

Lower Bounds ◽

Wave Equations ◽

Three Dimensions ◽

Nonlinear Wave Equations

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A note on existence of global classical solutions to nonlinear wave equations

Arkiv för matematik ◽

10.1007/bf02386113 ◽

1988 ◽

Vol 26 (1-2) ◽

pp. 145-153

Author(s):

P. Kumlin

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Classical Solutions ◽

Global Classical Solutions

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