Gevrey regularizing effect for nonlinear Schrödinger equations
, 1996 The paper deals with the following Cauchy problem for nonlinear Schrödinger equations in \(n\) dimensions: \[ i\partial_tu+\Delta u=f(t,x,u),\quad u(0,x)= \phi(x), \] where \(f(t,x,u)\) is a complex valued function of Gevrey class. One shows that if the initial data \(\phi\) is in some Gevrey class of order \(s\) with respect to \(x\), then the ...
Kato, Keiichi, Taniguchi, Kazuo
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Towards a safe and efficient clinical implementation of machine learning in radiation oncology by exploring model interpretability, explainability and data-model dependency. [PDF]
Phys Med Biol, 2022 Barragán-Montero A +12 more
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Gevrey regularity for the supercritical quasi-geostrophic equation
Journal of Differential Equations, 2014 In this paper, following the techniques of Foias and Temam, we establish suitable Gevrey class regularity of solutions to the supercritical quasi-geostrophic equations in the whole space, with initial data in “critical” Sobolev spaces. Moreover, the Gevrey class that we obtain is “near optimal” and as a corollary, we obtain temporal decay rates of ...
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Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, I: well-posedness. [PDF]
Math Ann, 2018 Garetto C, Jäh C, Ruzhansky M.
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Global stability of steady states in the classical Stefan problem for general boundary shapes. [PDF]
Philos Trans A Math Phys Eng Sci, 2015 Hadžić M, Shkoller S.
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Hyperbolic P ( Φ ) 2 -model on the Plane. [PDF]
Commun Math PhysOh T, Tolomeo L, Wang Y, Zheng G.
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Anisotropic Gevrey regularity for mKdV on the circle
, 2011 It is shown that the solution to the Cauchy problem for the modified Korteweg-de Vries equation with initial data in an analytic Gevrey space $G^\sigma$, $\sigma \>= 1$, as a function of the spacial variable belongs to the same Gevrey space. However, considered as function of time the solution does not belong to $G^\sigma$. In fact, it belong to $G^(3\
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The Kotake-Narasimhan theorem in general ultradifferentiable classes. [PDF]
Rev R Acad Cienc Exactas Fis Nat A MatFürdös S.
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An Integration Factor Method for Stochastic and Stiff Reaction-Diffusion Systems. [PDF]
J Comput Phys, 2015 Ta C, Wang D, Nie Q.
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