This article is intended to present a construction of structural representations of solutions to
the Cauchy problem for wave equations with time-dependent dissipation above scaling …

The blow-up for semilinear wave equations with the scale invariant damping has been well-
studied for sub-Fujita exponent. However, for super-Fujita exponent, there is only one blow …

This paper deals with the Cauchy problem for the compressible Euler equations with time-
dependent damping, where the time-vanishing damping in the form of μ (1+ t) λ makes some …

CRITICAL EXPONENT FOR THE SEMILINEAR WAVE EQUATION WITH TIME-DEPENDENT
DAMPING Jiayun Lin Kenji Nishihara Jian Zhai (Communicate Page 1 DISCRETE AND …

The main purpose of this paper is to study the global existence of small data solutions for
semi-linear structurally damped σ-evolution models of the form ut t+(− Δ) σ u+ μ (− Δ) δ ut= f …

This work is devoted to the nonexistence of global-in-time energy solutions of nonlinear
wave equation of derivative type with weak time-dependent damping in the scattering and …

It is well-known that the critical exponent for semilinear damped wave equations is Fujita
exponent when the damping is effective. Lai, Takamura and Wakasa in 2017 have obtained …

In this paper we consider the critical exponent problem for the semilinear damped wave
equation with time-dependent coefficients. We treat the scale invariant cases. In this case …

In this paper, we are concerned with the system of Euler equations with time-dependent
damping like -μ(1+t)^λu for physical parameters λ≥0 and μ>0. It is well known that, when …

In this paper we will consider the semi‐linear Cauchy problem for wave models with scale‐
invariant time‐dependent mass and dissipation and power non‐linearity. The goal is to …