Sharp lifespan estimates for the weakly coupled system of semilinear damped wave equations in the critical case
From MaRDI portal
Publication:2697558
DOI10.1007/s00208-021-02335-yOpenAlexW3110388865MaRDI QIDQ2697558
Publication date: 12 April 2023
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.11366
A priori estimates in context of PDEs (35B45) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lifespan of solutions to the damped wave equation with a critical nonlinearity
- Global solutions to the Cauchy problem for a system of damped wave equations.
- Small data blow-up of \(L^2\)-solution for the nonlinear Schrödinger equation without gauge invariance.
- Global existence of solutions for a reaction-diffusion system.
- Asymptotic behavior of solutions to the semilinear wave equation with time-dependent damping
- Lifespan of solutions for a weakly coupled system of semilinear heat equations
- Existence and nonexistence of global solutions for a nonlinear hyperbolic system with damping
- Global existence and nonexistence of solutions for a system of nonlinear damped wave equations
- Critère d'existence de solutions positives pour des équations semi- linéaires non monotones. (Existence condition of positive solutions of non-monotonic semilinear equations)
- Boundedness and blow up for a semilinear reaction-diffusion system
- On the asymptotic behavior of solutions of semi-linear wave equations
- Existence and behavior of solutions for a weakly coupled system of reaction-diffusion equations
- Breakdown of solutions to \(\square u+u_ t=| u| ^{1+\alpha}\)
- \(L^p\)-\(L^q\) estimates of solutions to the damped wave equation in 3-dimensional space and their application
- Blow-up and large time behavior of solutions of a weakly coupled system of reaction-diffusion equations.
- Weakly coupled systems of semilinear effectively damped waves with time-dependent coefficient, different power nonlinearities and different regularity of the data
- The sharp lifespan estimate for semilinear damped wave equation with Fujita critical power in higher dimensions
- Global existence of solutions for semilinear damped wave equations in \(\mathbb R^N\) with noncompactly supported initial data
- \(L^p\)-\(L^q\) estimates for damped wave equations and their applications to semi-linear problem
- Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations
- The interplay of critical regularity of nonlinearities in a weakly coupled system of semi-linear damped wave equations
- Critical regularity of nonlinearities in semilinear classical damped wave equations
- Weakly coupled systems of semilinear effectively damped waves with different time-dependent coefficients in the dissipation terms and different power nonlinearities
- Global existence of solutions for a weakly coupled system of semilinear damped wave equations
- Global solutions to the Cauchy problem for the weakly coupled system of damped wave equations
- Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method
- Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part
- Critical exponent for the Cauchy problem to the weakly coupled damped wave system
- Supersolutions for a class of nonlinear parabolic systems
- A blow-up result for a nonlinear wave equation with damping: The critical case
- A Benefit from the L ∞ Smallness of Initial Data for the Semilinear Wave Equation with Structural Damping
- Diffusion phenomenon for second order linear evolution equations
- Global existence and blow-up for a completely coupled Fujita type system
- Fujita’s Exponent for a Semilinear Wave Equation with Linear Damping
- Methods for Partial Differential Equations
- Global existence of solutions for weakly coupled systems of semi-linear structurally damped σ-evolution models
- Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case
- Estimates of Lifespan and Blow-up Rates for the Wave Equation with a Time-dependent Damping and a Power-type Nonlinearity
- Critical exponent for a nonlinear wave equation with damping
This page was built for publication: Sharp lifespan estimates for the weakly coupled system of semilinear damped wave equations in the critical case