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Linear parabolic equations in locally uniform spaces

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Arrieta Algarra, José María and Rodríguez Bernal, Aníbal and Cholewa, Jan W. and Dlotko, Tomasz (2004) Linear parabolic equations in locally uniform spaces. Mathematical Models and Methods in Applied Sciences, 14 (2). pp. 253-293. ISSN 0218-2025

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Official URL: http://www.worldscientific.com/doi/pdf/10.1142/S0218202504003234




Abstract

We analyze the linear theory of parabolic equations in uniform spaces. We obtain sharp L-p - L-q-type estimates in uniform spaces for heat and Schrodinger semigroups and analyze the regularizing effect and the exponential type of these semigroups. We also deal with general second-order elliptic operators and study the generation of analytic semigoups in uniform spaces.


Item Type:Article
Uncontrolled Keywords:Uniform spaces; Heat equation; Schrodinger semigroup; Analytic semigroups; Lp - L-q estimates; Regularizing effect; Exponential type; Ginzburg-landau equation; Unbounded-domains; Diffusion equations; Evolution-equations; Boundary-conditions; Global attractor; Cauchy-problem; Existence; Semigroups; Behavior
Subjects:Sciences > Mathematics > Functions
ID Code:18039
Deposited On:30 Jan 2013 09:53
Last Modified:12 Dec 2018 15:07

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