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
Long-time existence for small amplitude semilinear wave equations - MaRDI portal

Long-time existence for small amplitude semilinear wave equations

From MaRDI portal
Publication:4715151

DOI10.1353/ajm.1996.0042zbMath0869.35064OpenAlexW2024125865MaRDI QIDQ4715151

Christopher D. Sogge, Hans Lindblad

Publication date: 25 August 1997

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm118.5.html




Related Items (78)

On the asymptotic behavior of nonlinear waves in the presence of a short-range potentialBlow up for initial-boundary value problem of wave equation with a nonlinear memory in 1-DAn elementary proof of the blow-up for semilinear wave equation in high space dimensionsBlow-up analysis for two kinds of nonlinear wave equationsLife span of small solutions to a system of wave equationsFinite time blow up for critical wave equations in high dimensionsNew blow-up results for nonlinear boundary value problems in exterior domainsNonexistence of global solutions to critical semilinear wave equations in exterior domain in high dimensionsRevisit to Fritz John's paper on the blow-up of nonlinear wave equationsCombined effects of two nonlinearities in lifespan of small solutions to semi-linear wave equationsBlow up for initial boundary value problem of critical semilinear wave equation in two space dimensionsLifespan of classical solutions to semilinear Neumann-wave equationsBlow-up result for a semilinear wave equation with a nonlinear memory termA blow-up result for a semilinear wave equation with scale-invariant damping and mass and nonlinearity of derivative typeBlow-up of solutions to semilinear wave equations with variable coefficients and boundaryConcerning the Strauss conjecture for the subcritical and critical cases on the exterior domain in two space dimensionsStrauss exponent for semilinear wave equations with scattering space dependent dampingAlmost global existence for semilinear wave equations with mixed nonlinearities in four space dimensionsAlmost global solutions of semilinear wave equations with the critical exponent in high dimensionsLifespan estimates for critical semilinear wave equations and scale invariant damped wave equations in exterior domain in high dimensionsGlobal existence and lifespan for semilinear wave equations with mixed nonlinear termsLifespan estimates for local solutions to the semilinear wave equation in Einstein–de Sitter spacetimeWeakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear partNonexistence of global solutions for the semilinear Moore - Gibson - Thompson equation in the conservative caseLifespan estimates for semilinear wave equations with space dependent damping and potentialLong time existence for the quadratic wave equation associated to the harmonic oscillatorBlowup for a damped wave equation with mass and general nonlinear memoryThe move from Fujita type exponent to a shift of it for a class of semilinear evolution equations with time-dependent dampingThe rescaling method for some quasilinear wave equations with the divergence forms of the nonlinearityConcerning the wave equation on asymptotically Euclidean manifoldsSmall data global existence for the semilinear wave equation with space-time dependent dampingBlow-up and lifespan estimate to a nonlinear wave equation in Schwarzschild spacetimeInterplay effects on blow-up of weakly coupled systems for semilinear wave equations with general nonlinear memory termsThe lifespan for quasilinear wave equations with multiple propagation speeds in four space dimensionsBlow-up for Strauss type wave equation with damping and potentialLocal and global nonexistence of solutions to nonlinear hyperbolic inequalitiesCritical blowup for systems of semilinear wave equations in low space dimensionsNew blow-up phenomena for hyperbolic inequalities with combined nonlinearitiesBlow-up of solutions to critical semilinear wave equations with variable coefficientsImproved Kato's lemma on ordinary differential inequality and its application to semilinear wave equationsLifespan estimates for 2-dimensional semilinear wave equations in asymptotically Euclidean exterior domainsUnnamed ItemOn abstract Strichartz estimates and the Strauss conjecture for nontrapping obstaclesOn the existence and nonexistence of global solutions for certain semilinear exterior problems with nontrivial Robin boundary conditionsLife-Span of Solutions to Critical Semilinear Wave EquationsAn elementary proof of Strauss conjectureLifespan of classical solutions to quasilinear wave equations outside of a star-shaped obstacle in four space dimensionsConcerning the Strauss conjecture on asymptotically Euclidean manifoldsBlow up for systems of wave equations in exterior domainHeat-like and wave-like lifespan estimates for solutions of semilinear damped wave equations via a Kato's type lemmaThe lifespan of radially symmetric solutions to nonlinear systems of odd dimensional wave equationsThe sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensionsSTRICHARTZ ESTIMATES FOR WAVE EQUATION WITH INVERSE SQUARE POTENTIALRegularity properties of wave propagation on conic manifolds and applications to spectral multipliersSmall data solutions for the Euler-Poisson-Darboux equation with a power nonlinearityBlow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearitiesThe Strauss conjecture on Kerr black hole backgroundsBlow-up phenomena of semilinear wave equations and their weakly coupled systemsGlobal existence for systems of quasilinear wave equations in (1 + 4)-dimensionsGlobal existence and finite time blow up for the weighted semilinear wave equationWeighted HLS inequalities for radial functions and Strichartz estimates for wave and Schrödinger equationsSmall solutions to semi-linear wave equations with radial data of critical regularityLifespan of semilinear wave equation with scale invariant dissipation and mass and sub-Strauss power nonlinearityWeighted \(L^2-L^2\) estimate for wave equation in \(\mathbb{R}^3\) and its applicationsOn the critical decay for the wave equation with a cubic convolution in 3DOn the critical behavior for inhomogeneous wave inequalities with Hardy potential in an exterior domain\(L^1-L^p\) estimates for radial solutions of the wave equation and applicationSharpness on the lower bound of the lifespan of solutions to nonlinear wave equationsThe global well-posedness and scattering for the 5-dimensional defocusing conformal invariant NLW with radial initial data in a critical Besov spaceThe critical exponent for semilinear \(\sigma \)-evolution equations with a strong non-effective dampingRestriction theorems and semilinear Klein-Gordon equations in \((1+3)\)-dimensionsLifespan of solutions to semilinear damping wave equations in De Sitter spacetimeLong-time existence for semilinear wave equations with the inverse-square potentialOn nonlinear elastic waves in 2-DExistence and blow up of small-amplitude nonlinear waves with a sign-changing potentialFinite-time blow-up of solutions to semilinear wave equationsLifespan estimates for a class of semilinear wave equations with time- and space-dependent coefficients on the power nonlinearityStrichartz estimates in the hyperbolic space and global existence for the semilinear wave equation




This page was built for publication: Long-time existence for small amplitude semilinear wave equations