Finite-time blow-up for nonlinear wave equations in high dimensions
From MaRDI portal
Publication:3767753
DOI10.1080/03605308708820506zbMath0631.35060OpenAlexW2010352251MaRDI QIDQ3767753
Publication date: 1987
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605308708820506
semilinear wave equationCauchy problemblow upradially symmetriciteration techniqueestimate from belowDuhamel integral
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70)
Related Items
Blow up for initial-boundary value problem of wave equation with a nonlinear memory in 1-D, An elementary proof of the blow-up for semilinear wave equation in high space dimensions, On Glassey's conjecture for semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime, Life span of small solutions to a system of wave equations, Finite time blow up for critical wave equations in high dimensions, Improvement on the blow-up for the weakly coupled wave equations with scale-invariant damping and time derivative nonlinearity, Formation of Singularities in Compressible Fluids in Two-Space Dimensions, Blow-up for nonlinear wave equations with slowly decaying data, Combined effects of two nonlinearities in lifespan of small solutions to semi-linear wave equations, Blow-up and lifespan estimate for generalized Tricomi equations related to Glassey conjecture, Blow up for initial boundary value problem of critical semilinear wave equation in two space dimensions, A blow-up result for a semilinear wave equation with scale-invariant damping and mass and nonlinearity of derivative type, Weighted fractional chain rule and nonlinear wave equations with minimal regularity, The Glassey conjecture on asymptotically flat manifolds, Concerning the Strauss conjecture for the subcritical and critical cases on the exterior domain in two space dimensions, Almost global solutions of semilinear wave equations with the critical exponent in high dimensions, Blow‐up and lifespan estimates for Nakao's type problem with nonlinearities of derivative type, Blow-up for semilinear wave equations in four or five space dimensions, Blow-up and lifespan estimate for wave equations with critical damping term of space-dependent type related to Glassey conjecture, Blow-up of solutions to the semilinear wave equation with scale invariant damping on exterior domain, Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms, Critical blowup for systems of semilinear wave equations in low space dimensions, Blow-up of solutions of nonlinear pseudo-hyperbolic equations of generalized nerve conduction type, Finite time blow up to critical semilinear wave equation outside the ball in 3-D, On the existence and nonexistence of global solutions for certain semilinear exterior problems with nontrivial Robin boundary conditions, The lifespan of radially symmetric solutions to nonlinear systems of odd dimensional wave equations, The Glassey conjecture with radially symmetric data, Improvement on the blow-up of the wave equation with the scale-invariant damping and combined nonlinearities, Blow-up phenomena of semilinear wave equations and their weakly coupled systems, Weighted HLS inequalities for radial functions and Strichartz estimates for wave and Schrödinger equations, Weighted \(L^2-L^2\) estimate for wave equation in \(\mathbb{R}^3\) and its applications, On the critical decay for the wave equation with a cubic convolution in 3D, On the critical behavior for inhomogeneous wave inequalities with Hardy potential in an exterior domain, Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case, The global well-posedness and scattering for the 5-dimensional defocusing conformal invariant NLW with radial initial data in a critical Besov space, Lifespan of solutions to semilinear damping wave equations in De Sitter spacetime, A blow-up result for the semilinear Moore-Gibson-Thompson equation with nonlinearity of derivative type in the conservative case, Existence and blow up of small-amplitude nonlinear waves with a sign-changing potential, The Glassey conjecture for nontrapping obstacles, Blow-up of solutions to semilinear wave equations with non-zero initial data
Cites Work
- Unnamed Item
- Nonexistence of global solutions to semilinear wave equations in high dimensions
- Global existence of small solutions to nonlinear evolution equations
- Finite-time blow-up for solutions of nonlinear wave equations
- Existence in the large for \(cmu=F(u)\) in two space dimensions
- Blow-up of solutions of nonlinear wave equations in three space dimensions
- Blow-up theorems for nonlinear wave equations
- Global behavior of solutions to nonlinear wave equations in three dimensions
- Finite-Time Blow-Up for in Two Space Dimensions
- Almost global existence to nonlinear wave equations in three space dimensions
- Blow-up for quasi-linear wave equations in three space dimensions
- Global, small amplitude solutions to nonlinear evolution equations
