90 citations · 203 across the 19 of their papers we have counts for
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math.AP2017
A generalized Levi condition for weakly hyperbolic Cauchy problems with coefficients low regular in time and smooth in space
Daniel Lorenz, Michael Reissig
We consider the Cauchy problem for weakly hyperbolic -th order partial differential equations with coefficients low-regular in time and smooth in space. It is well-known that in…
math.AP2017★ 55 cited
Fujita versus Strauss - a never ending story
Alessandro Palmieri, Michael Reissig
In this paper, we obtain a blow-up result for solutions to a semi-linear wave equation with scale-invariant dissipation and mass and power non-linearity, in the case in which the m…
math.AP2017
Regularity theory and global existence of small data solutions to semi-linear de Sitter models with power non-linearity
Marcelo Rempel Ebert, Michael Reissig
In this paper we study the Cauchy problem for semi-linear de Sitter models with power non-linearity. The model of interest is \[ ϕ_{tt} - e^{-2t} Δϕ+ nϕ_t+m^2ϕ=|ϕ|^p,\quad (ϕ(0,x),…