On the Cauchy problem for semilinear \(\sigma\)-evolution equations with time-dependent damping
DOI10.1002/MMA.9857zbMATH Open1547.35453MaRDI QIDQ6551580
Halit Sevki Aslan, Tuan Anh Dao
Publication date: 7 June 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
critical exponentlifespan estimatesglobal existence of small data solutionWKB-analysis\(\sigma\)-evolution equation
Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Lifespan of solutions to the damped wave equation with a critical nonlinearity
- A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations
- Semi-linear wave equations with effective damping
- A shift in the strauss exponent for semilinear wave equations with a not effective damping
- The sharp estimate of the lifespan for semilinear wave equation with time-dependent damping.
- Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case
- Wave equations with time-dependent dissipation. I: Non-effective dissipation
- Wave equations with time-dependent dissipation. II: Effective dissipation
- Critère d'existence de solutions positives pour des équations semi- linéaires non monotones. (Existence condition of positive solutions of non-monotonic semilinear equations)
- On the asymptotic behavior of solutions of semi-linear wave equations
- Energy decay of solutions of dissipative wave equations
- Nonlinear Liouville theorems for Grushin and Tricomi operators.
- Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data
- The sharp lifespan estimate for semilinear damped wave equation with Fujita critical power in higher dimensions
- Critical exponent for the semilinear wave equation with time-dependent damping
- Critical curve for a weakly coupled system of semilinear \(\sigma\)-evolution equations with frictional damping
- Qualitative properties of solutions to structurally damped \(\sigma\)-evolution models with time increasing coefficient in the dissipation
- On Dirichlet's boundary value problem. An \(L^p\)-theory based on a generalization of Garding's inequality
- Blow-up results for semi-linear structurally damped \(\sigma\)-evolution equations
- A blow-up result for a nonlinear wave equation with damping: the critical case
- Qualitative Properties of Solutions to Structurally Damped 𝜎-Evolution Models with Time Decreasing Coefficient in the Dissipation
- Fujita’s Exponent for a Semilinear Wave Equation with Linear Damping
- Sharp lifespan estimates of blowup solutions to semi-linear wave equations with time-dependent effective damping
- Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case
- The threshold of effective damping for semilinear wave equations
- A note on the lifespan of solutions to the semilinear damped wave equation
- A classification of structural dissipations for evolution operators
- A modified test function method for damped waves
- Critical exponent for a nonlinear wave equation with damping
- Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on \(\mathbb{R}^n\)
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