论文信息 - Fujita regularity exponent for scale invariant damped semilinear wave equation

Fujita regularity exponent for scale invariant damped semilinear wave equation

The aim of this paper is to prove a blow up result of the solution for a scale invariant damped wave equation with scale invariant mass and super-Strauss power nonlinearity, under a slow decay condition on the radial initial datum $g(x)=g(|x|)$. In addition we estimate the lifespan of the solution.

F. A. Chiarello | G. Girardi | S. Lucente

[1] Alessandro Palmieri,et al. A global existence result for a semilinear scale‐invariant wave equation in even dimension , 2019, Mathematical Methods in the Applied Sciences.

[2] M. Reissig,et al. Semi‐linear wave models with power non‐linearity and scale‐invariant time‐dependent mass and dissipation , 2017 .

[3] Michael Reissig,et al. A shift in the Strauss exponent for semilinear wave equations with a not effective damping , 2015 .

[4] M. D’Abbicco,et al. NLWE with a special scale invariant damping in odd space dimension , 2015 .

[5] Marcello D'Abbicco,et al. The threshold of effective damping for semilinear wave equations , 2015 .

[6] Hans Lindblad,et al. Weighted Strichartz estimates and global existence for semilinear wave equations , 1997, math/9912206.

[7] H. Takamura. Blow-up for semilinear wave equations with slowly decaying data in high dimensions , 1995, Differential and Integral Equations.

[8] H. Kubo,et al. Asymptotic behaviors of radially symmetric solutions of $B""(Bu = |u|P for super critical values p in even space dimensions , 1994 .

[9] H. Kubo. Slowly decaying solutions for semilinear wave equations in odd space dimensions , 1994 .

[10] A. Palmieri. Global Existence Results for a Semilinear Wave Equation with Scale-Invariant Damping and Mass in Odd Space Dimension , 2019, Trends in Mathematics.

[11] Thomas C. Sideris,et al. Global behavior of solutions to nonlinear wave equations , 1981 .