62 citations · 187 across the 31 of their papers we have counts for
33 papers
Schrödinger ultrahyperbolic equations with singular coefficients
Claudia Garetto, Davide Tramontana
In this paper we investigate the Cauchy problem for Schrödinger ultrahyperbolic equations with singular (less than continuous) coefficients. We prove well-posedness in t…
Schwartz very weak solutions for Schrödinger type equations with distributional coefficients
Alexandre Arias Junior, Alessia Ascanelli, Marco Cappiello +1
This paper continues the analysis of Schrödinger type equations with distributional coefficients initiated by the authors in [3]. Here we consider coefficients that are tempered di…
Schrödinger type equations with singular coefficients and lower order terms
Alexandre Arias Junior, Alessia Ascanelli, Marco Cappiello +1
In this paper we investigate the well-posedness of the Cauchy problem for a Schrödinger operator with singular lower order terms. We allow distributional coefficients and we approa…
Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, III: singular coefficients
Claudia Garetto, Bolys Sabitbek
In this paper we continue the analysis of non-diagonalisable hyperbolic systems initiated in \cite{GarJRuz, GarJRuz2}. Here we assume that the system has discontinuous coefficients…
On the wave equation with space dependent coefficients: singularities and lower order terms
Marco Discacciati, Claudia Garetto, Costas Loizou
This paper complements the study of the wave equation with discontinuous coefficients initiated in \cite{DGL:22} in the case of time-dependent coefficients. Here we assume that the…
On higher order hyperbolic equations with space-dependent coefficients: well-posedness and Levi conditions
Claudia Garetto
This paper contributes to the wider study of hyperbolic equations with multiplicities. We focus here on some classes of higher order hyperbolic equations with space dependent coeff…