The lifespan for general quasilinear wave equation with localized dissipation in exterior domains

Applicable Analysis ◽

10.1080/00036810802282525 ◽

2008 ◽

Vol 87 (7) ◽

pp. 787-803 ◽

Author(s):

Yi Du ◽

Lijun Ma ◽

Zheng-An Yao

Keyword(s):

Wave Equation ◽

Exterior Domains ◽

Quasilinear Wave Equation

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EXISTENCE OF GLOBAL SOLUTIONS FOR THE KIRCHHOFF-TYPE QUASILINEAR WAVE EQUATION IN EXTERIOR DOMAINS WITH A HALF-LINEAR DISSIPATION

Kyushu Journal of Mathematics ◽

10.2206/kyushujm.58.373 ◽

2004 ◽

Vol 58 (2) ◽

pp. 373-391 ◽

Author(s):

Mitsuhiro NAKAO

Keyword(s):

Wave Equation ◽

Global Solutions ◽

Exterior Domains ◽

Quasilinear Wave Equation ◽

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Global existence for the nonhomogeneous quasilinear wave equation with a localized weakly nonlinear dissipation in exterior domains

Acta Mathematica Scientia ◽

10.1016/s0252-9602(09)60097-7 ◽

2009 ◽

Vol 29 (5) ◽

pp. 1203-1215

Author(s):

Bae Jeong Ja

Keyword(s):

Wave Equation ◽

Global Existence ◽

Exterior Domains ◽

Nonlinear Dissipation ◽

Quasilinear Wave Equation ◽

Weakly Nonlinear

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Global nonexistence of solutions for a quasilinear wave equation with acoustic boundary conditions

Boundary Value Problems ◽

10.1186/s13661-017-0773-1 ◽

2017 ◽

Vol 2017 (1) ◽

Author(s):

Jin-Mun Jeong ◽

Jong-Yeoul Park ◽

Yong Han Kang

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Quasilinear Wave Equation ◽

Acoustic Boundary Conditions ◽

Global Nonexistence ◽

Nonexistence Of Solutions

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On the accurate long-time solution of the wave equation in exterior domains: asymptotic expansions and corrected boundary conditions

Mathematics of Computation ◽

10.1090/s0025-5718-1994-1248970-1 ◽

1994 ◽

Vol 63 (208) ◽

pp. 507 ◽

Author(s):

Thomas Hagstrom ◽

S. I. Hariharan ◽

R. C. MacCamy

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Asymptotic Expansions ◽

Exterior Domains ◽

Time Solution ◽

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Rothe time-discretization method applied to a quasilinear wave equation subject to integral conditions

Advances in Difference Equations ◽

10.1155/s1687183904401071 ◽

2004 ◽

Vol 2004 (3) ◽

pp. 932415 ◽

Author(s):

Abdelfatah Bouziani ◽

Nabil Merazga

Keyword(s):

Wave Equation ◽

Time Discretization ◽

Discretization Method ◽

Integral Conditions ◽

Quasilinear Wave Equation

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Time asymptotics for the biharmonic wave equation in exterior domains

Asymptotic Analysis ◽

10.3233/asy-1997-153-407 ◽

1997 ◽

Vol 15 (3-4) ◽

pp. 359-384 ◽

Author(s):

Peter H. Lesky

Keyword(s):

Wave Equation ◽

Exterior Domains ◽

Time Asymptotics

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Global smooth solutions for the quasilinear wave equation with boundary dissipation

Journal of Differential Equations ◽

10.1016/j.jde.2007.06.014 ◽

2007 ◽

Vol 241 (1) ◽

pp. 62-93 ◽

Author(s):

Peng-Fei Yao

Keyword(s):

Wave Equation ◽

Smooth Solutions ◽

Quasilinear Wave Equation ◽

Global Smooth Solutions ◽

Boundary Dissipation

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On the decay of solutions of a damped quasilinear wave equation with variable‐exponent nonlinearities

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6254 ◽

2020 ◽

Vol 43 (8) ◽

pp. 5114-5126 ◽

Author(s):

Salim A. Messaoudi

Keyword(s):

Wave Equation ◽

Variable Exponent ◽

Quasilinear Wave Equation ◽

Decay Of Solutions

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The Quasilinear Wave Equation for Antiplane Shearing of Nonlinearly Elastic Bodies

Journal of Computational Physics ◽

10.1006/jcph.2001.6783 ◽

2001 ◽

Vol 171 (1) ◽

pp. 201-226 ◽

Author(s):

Dawn A. Lott ◽

Stuart S. Antman ◽

William G. Szymczak

Keyword(s):

Wave Equation ◽

Quasilinear Wave Equation ◽

Elastic Bodies ◽

Nonlinearly Elastic

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A Local Well-Posedness Result for the Quasilinear Wave Equation in ℝ2+1

Communications in Partial Differential Equations ◽

10.1081/pde-120030400 ◽

2005 ◽

Vol 29 (3-4) ◽

pp. 323-360

Author(s):

Dan-Andrei Geba

Keyword(s):

Wave Equation ◽

Well Posedness ◽

Quasilinear Wave Equation

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