Lifespan estimates for 2-dimensional semilinear wave equations in asymptotically Euclidean exterior domains

Journal of Functional Analysis ◽

10.1016/j.jfa.2021.109253 ◽

2021 ◽

pp. 109253

Author(s):

Ning-An Lai ◽

Mengyun Liu ◽

Kyouhei Wakasa ◽

Chengbo Wang

Keyword(s):

Wave Equations ◽

Exterior Domains ◽

Semilinear Wave Equations

Download Full-text

Global existence for semilinear wave equations in exterior domains

Nonlinear Analysis ◽

10.1016/s0362-546x(01)00372-8 ◽

2001 ◽

Vol 47 (4) ◽

pp. 2497-2506

Author(s):

Mitsuhiro Nakao

Keyword(s):

Global Existence ◽

Wave Equations ◽

Exterior Domains ◽

Semilinear Wave Equations

Download Full-text

Energy decay for the linear and semilinear wave equations in exterior domains with some localized dissipations

Mathematische Zeitschrift ◽

10.1007/s002090100275 ◽

2001 ◽

Vol 238 (4) ◽

pp. 781-797 ◽

Author(s):

Mitsuhiro Nakao

Keyword(s):

Wave Equations ◽

Energy Decay ◽

Exterior Domains ◽

Semilinear Wave Equations

Download Full-text

A unique continuation principle and weak asymptotic behaviour of solutions to semilinear wave equations in exterior domains

Applied Mathematics Letters ◽

10.1016/0893-9659(90)90066-k ◽

1990 ◽

Vol 3 (1) ◽

pp. 53-56

Author(s):

Reinhard Racke

Keyword(s):

Asymptotic Behaviour ◽

Wave Equations ◽

Unique Continuation ◽

Exterior Domains ◽

Semilinear Wave Equations ◽

Continuation Principle ◽

Asymptotic Behaviour Of Solutions

Download Full-text

Minimal periods for solutions of semilinear wave equations in exterior domains and for solutions of the equations of nonlinear elasticity

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(88)90155-2 ◽

1988 ◽

Vol 135 (1) ◽

pp. 297-308 ◽

Author(s):

Howard A Levine

Keyword(s):

Nonlinear Elasticity ◽

Wave Equations ◽

Exterior Domains ◽

Semilinear Wave Equations

Download Full-text

$L^p$ estimates for the linear wave equation and global existence for semilinear wave equations in exterior domains

Mathematische Annalen ◽

10.1007/pl00004463 ◽

2001 ◽

Vol 320 (1) ◽

pp. 11-31 ◽

Author(s):

Mitsuhiro Nakao

Keyword(s):

Wave Equation ◽

Global Existence ◽

Wave Equations ◽

Linear Wave ◽

Exterior Domains ◽

Linear Wave Equation ◽

Semilinear Wave Equations

Download Full-text

Global existence of null-form wave equations in exterior domains

Mathematische Zeitschrift ◽

10.1007/s00209-006-0083-2 ◽

2007 ◽

Vol 256 (3) ◽

pp. 521-549 ◽

Author(s):

Jason Metcalfe ◽

Christopher D. Sogge

Keyword(s):

Global Existence ◽

Wave Equations ◽

Exterior Domains

Download Full-text

On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125133 ◽

2021 ◽

pp. 125133

Author(s):

Kimitoshi Tsutaya ◽

Yuta Wakasugi

Keyword(s):

Wave Equations ◽

Semilinear Wave Equations

Download Full-text

Concerning ill-posedness for semilinear wave equations

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-020-01899-y ◽

2021 ◽

Vol 60 (1) ◽

Author(s):

Mengyun Liu ◽

Chengbo Wang

Keyword(s):

Wave Equations ◽

Semilinear Wave Equations

Download Full-text

Oscillatory phenomena associated to semilinear wave equations in one spatial dimension

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1987-0871673-2 ◽

1987 ◽

Vol 300 (1) ◽

pp. 207-207 ◽

Author(s):

T. Cazenave ◽

A. Haraux

Keyword(s):

Wave Equations ◽

Spatial Dimension ◽

Semilinear Wave Equations

Download Full-text

Existence, blow-up, and exponential decay estimates for a system of semilinear wave equations associated with the helicalflows of Maxwell fluid

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3643 ◽

2015 ◽

Vol 39 (9) ◽

pp. 2334-2357

Author(s):

Le Thi Phuong Ngoc ◽

Cao Huu Hoa ◽

Nguyen Thanh Long

Keyword(s):

Exponential Decay ◽

Wave Equations ◽

Blow Up ◽

Maxwell Fluid ◽

Decay Estimates ◽

Semilinear Wave Equations

Download Full-text