Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Global existence and asymptotic behavior of solutions for nonlinear wave equations - MaRDI portal

Global existence and asymptotic behavior of solutions for nonlinear wave equations

From MaRDI portal
Publication:4884470

DOI10.1512/iumj.1995.44.2028zbMath0858.35085OpenAlexW1998917615MaRDI QIDQ4884470

Kunio Hidano, Kimitoshi Tsutaya

Publication date: 14 July 1996

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.1995.44.2028




Related Items (32)

Blow-up and lifespan estimates for a damped wave equation in the Einstein-de Sitter spacetime with nonlinearity of derivative typeOn Glassey's conjecture for semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetimeLife span of small solutions to a system of wave equationsImprovement on the blow-up for the weakly coupled wave equations with scale-invariant damping and time derivative nonlinearityFinite time blow-up for a semilinear generalized Tricomi system with mixed nonlinearityCombined effects of two nonlinearities in lifespan of small solutions to semi-linear wave equationsBlow-up and lifespan estimate for generalized Tricomi equations related to Glassey conjectureNonexistence result for the generalized Tricomi equation with the scale-invariant damping, mass term and time derivative nonlinearityA blow-up result for a semilinear wave equation with scale-invariant damping and mass and nonlinearity of derivative typeWeighted fractional chain rule and nonlinear wave equations with minimal regularityThe Glassey conjecture on asymptotically flat manifoldsAlmost global existence for semilinear wave equations with mixed nonlinearities in four space dimensionsBlow‐up and lifespan estimates for Nakao's type problem with nonlinearities of derivative typeGlobal existence and lifespan for semilinear wave equations with mixed nonlinear termsBlow-up and lifespan estimate for wave equations with critical damping term of space-dependent type related to Glassey conjectureImprovement on the blow-up for a weakly coupled wave equations with scale-invariant damping and mass and time derivative nonlinearityBlow-up and lifespan estimate for the generalized Tricomi equation with mixed nonlinearitiesUnnamed ItemNonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear termsGlobal existence for some 4-D quasilinear wave equations with low regularityLarge time behavior of solutions to semilinear systems of wave equationsThe Glassey conjecture with radially symmetric dataImprovement on the blow-up of the wave equation with the scale-invariant damping and combined nonlinearitiesBlow-up phenomena of semilinear wave equations and their weakly coupled systemsNonexistence of global solutions for a weakly coupled system of semilinear damped wave equations of derivative type in the scattering caseLifespan of solutions to semilinear damping wave equations in De Sitter spacetimeA blow-up result for the semilinear Moore-Gibson-Thompson equation with nonlinearity of derivative type in the conservative caseSmall data blowup for systems of semilinear wave equations with different propagation speeds in three space dimensionsBlow up for small-amplitude semilinear wave equations with mixed nonlinearities on asymptotically Euclidean manifoldsThe Glassey conjecture for nontrapping obstaclesNonlinear dispersive wave equations in two space dimensionsBlow-up of solutions to semilinear wave equations with non-zero initial data




This page was built for publication: Global existence and asymptotic behavior of solutions for nonlinear wave equations