Wave-like blow-up for semilinear wave equations with scattering damping and negative mass term

Abstract

In this paper we establish blow-up results and lifespan estimates for semilinear wave equations with scattering damping and negative mass term for subcritical power, which is the same as that of the corresponding problem without mass term, and also the same as that of the corresponding problem without both damping and mass term. For this purpose, we have to use the comparison argument twice, due to the damping and mass term, in additional to a key multiplier. Finally, we get the desired results by an iteration argument.

arXiv comment20 pages. The last equation in Introduction of the first version has a typo. Its was trivial but revised. "mass" in the title of the second version is replaced with "mass term"

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Cited by in corpus (5)

• Lifespan of semilinear wave equation with scale invariant dissipation and mass and sub-Strauss power nonlinearity
• Heat-like and wave-like lifespan estimates for solutions of semilinear damped wave equations via a Kato's type lemma
• Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass
• Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass
• Short time blow-up by negative mass term for semilinear wave equations with small data and scattering damping