Finite-Time Blow-Up for in Two Space Dimensions
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Publication:3721067
DOI10.1080/03605308608820434zbMath0592.35088OpenAlexW2081319842MaRDI QIDQ3721067
Publication date: 1986
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605308608820434
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70)
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On Glassey's conjecture for semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime ⋮ New blow-up results for nonlinear boundary value problems in exterior domains ⋮ 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 ⋮ 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 ⋮ Blow-up of solutions to semilinear wave equations with variable coefficients and boundary ⋮ The Glassey conjecture on asymptotically flat manifolds ⋮ Global solvability for nonlinear wave equations with singular potential ⋮ Blow‐up and lifespan estimates for Nakao's type problem with nonlinearities of derivative type ⋮ Finite-time blow-up for nonlinear wave equations in high dimensions ⋮ The Lifespan of Smooth Solutions to Semilinear Wave Equations in Schwarzschild Space-Time ⋮ 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 ⋮ Eberlein compactness ⋮ Blow-up of solutions of nonlinear pseudo-hyperbolic equations of generalized nerve conduction type ⋮ Blow-up of solutions to nonlinear wave equations in two space dimensions ⋮ Long time behaviour of solutions to some nonlinear rotation invariant mixed problems ⋮ The Glassey conjecture with radially symmetric data ⋮ Blow-up phenomena of semilinear wave equations and their weakly coupled systems ⋮ Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case ⋮ On \(B\)-injectors of the covering groups of \(A_n\). ⋮ 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 ⋮ The Glassey conjecture for nontrapping obstacles ⋮ Lifespan of solutions of semilinear wave equations in two space dimensions ⋮ Blow-up of solutions to semilinear wave equations with non-zero initial data
Cites Work
- Global existence of small solutions to nonlinear evolution equations
- Blow-up of solutions of nonlinear wave equations in three space dimensions
- Global behavior of solutions to nonlinear wave equations in three dimensions
- Almost global existence to nonlinear wave equations in three space dimensions
- Global, small amplitude solutions to nonlinear evolution equations
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