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

P. Kumlin

doi:10.1007/bf02386113

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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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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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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Null Condition and Global Classical Solutions to the Cauchy Problem of Nonlinear Wave Equations

Series in Contemporary Mathematics - Nonlinear Wave Equations ◽

10.1007/978-3-662-55725-9_12 ◽

2017 ◽

pp. 263-301

Author(s):

Tatsien Li ◽

Yi Zhou

Keyword(s):

Cauchy Problem ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Classical Solutions ◽

Null Condition ◽

Global Classical Solutions ◽

The Cauchy Problem

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Global classical solutions of nonlinear wave equations

Mathematische Zeitschrift ◽

10.1007/bf01258907 ◽

1981 ◽

Vol 176 (1) ◽

pp. 87-121 ◽

Cited By ~ 64

Author(s):

Philip Brenner ◽

Wolf von Wahl

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Classical Solutions ◽

Global 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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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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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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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 existence of classical solutions to systems of nonlinear wave equations with different speeds of propagation

Japanese journal of mathematics ◽

10.4099/math1924.27.113 ◽

2001 ◽

Vol 27 (1) ◽

pp. 113-202 ◽

Cited By ~ 16

Author(s):

Kôji KUBOTA ◽

Kazuyoshi YOKOYAMA

Keyword(s):

Global Existence ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Classical Solutions

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