Zobrazeno 1 - 10
of 156
pro vyhledávání: '"Cappiello, Marco"'
This paper continues the analysis of Schr\"odinger type equations with distributional coefficients initiated by the authors in [3]. Here we consider coefficients that are tempered distributions with respect to the space variable and are continuous in
Externí odkaz:
http://arxiv.org/abs/2408.02642
We study the Cauchy problem for a class of linear evolution equations of arbitrary order with coefficients depending both on time and space variables. Under suitable decay assumptions on the coefficients of the lower order terms for $|x|$ large, we p
Externí odkaz:
http://arxiv.org/abs/2407.18630
We consider evolution equations for two classes of generalized anharmonic oscillators and the associated initial value problem in the space of tempered distributions. We prove that the Cauchy problem is well posed in anisotropic Shubin--Sobolev modul
Externí odkaz:
http://arxiv.org/abs/2406.03122
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 conditions for global solvability and global hypoellipticity, based o
Externí odkaz:
http://arxiv.org/abs/2403.05096
In this paper we consider a class of evolution operators with coefficients depending on time and space variables $(t,x) \in \mathbb{T} \times \mathbb{R}^n$, where $\mathbb{T}$ is the one-dimensional torus and prove necessary and sufficient conditions
Externí odkaz:
http://arxiv.org/abs/2402.10006
In this paper we investigate the well-posedness of the Cauchy problem for a Schr\"odinger operator with singular lower order terms. We allow distributional coefficients and we approach this problem via the regularising methods at the core of the theo
Externí odkaz:
http://arxiv.org/abs/2402.07826
In this paper we consider a class of $p$-evolution equations of arbitrary order with variable coefficients depending on time and space variables $(t,x)$. We prove necessary conditions on the decay rates of the coefficients for the well-posedness of t
Externí odkaz:
http://arxiv.org/abs/2309.05571
We show results on propagation of anisotropic Gabor wave front sets for solutions to a class of evolution equations of Schr\"odinger type. The Hamiltonian is assumed to have a real-valued principal symbol with the anisotropic homogeneity $a(\lambda x
Externí odkaz:
http://arxiv.org/abs/2307.08010
We prove well-posedness of the Cauchy problem for a class of third order quasilinear evolution equations with variable coefficients in projective Gevrey spaces. The class considered is connected with several equations in Mathematical Physics as the K
Externí odkaz:
http://arxiv.org/abs/2212.10530
Publikováno v:
In Journal of Differential Equations 5 October 2024 405:220-246
