3 citations · 4 across the 10 of their papers we have counts for
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Global Hypoellipticity for Systems in Time-Periodic Gelfand-Shilov Spaces
Fernando de Ávila Silva, Marco Cappiello, Alexandre Kirilov
We investigate the global hypoellipticity of a class of overdetermined systems with coefficients depending both on time and space variables in the setting of time-periodic Gelfand-…
Systems of differential operators in time-periodic Gelfand-Shilov spaces
Fernando de Ávila Silva, Marco Cappiello, Alexandre Kirilov
This paper explores the global properties of time-independent systems of operators in the framework of Gelfand-Shilov spaces. Our main results provide both necessary and sufficient…
Globally solvable time-periodic evolution equations in Gelfand-Shilov classes
Fernando de Ávila Silva, Marco Cappiello
In this paper we consider a class of evolution operators with coefficients depending on time and space variables , where is t…
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…
On the Cauchy problem for -evolution equations with variable coefficients: a necessary condition for Gevrey well-posedness
Alexandre Arias Junior, Alessia Ascanelli, Marco Cappiello
In this paper we consider a class of -evolution equations of arbitrary order with variable coefficients depending on time and space variables . We prove necessary conditi…
Semilinear pseudodifferential equations in spaces of tempered ultradistributions
Marco Cappiello, Stevan Pilipovic, Bojan Prangoski
We study a class of semilinear elliptic equations on spaces of tempered ultradistributions of Beurling and Roumieu type. Assuming that the linear part of the equation is an ellipti…