Showing math.APShow all
2 papers · 1 filter
math.AP2018
Strictly hyperbolic Cauchy problems with coefficients low-regular in time and space
Daniel Lorenz
We consider the strictly hyperbolic Cauchy problem \begin{align*} &D_t^m u - \sum\limits_{j = 0}^{m-1} \sum\limits_{|γ|+j = m} a_{m-j,\,γ}(t,\,x) D_x^γD_t^j u = 0, \newline &D_t^{k…
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…