Arrieta Algarra, José MaríaRodríguez Bernal, AníbalCholewa, Jan W.Dlotko, Tomasz2023-06-202023-06-2020040218-202510.1142/S0218202504003234https://hdl.handle.net/20.500.14352/50334We 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.engjournal articlehttp://www.worldscientific.com/doi/pdf/10.1142/S0218202504003234http://www.worldscientific.com/restricted access517.986Uniform spacesHeat equationSchrodinger semigroupAnalytic semigroupsLp - L-q estimatesRegularizing effectExponential typeGinzburg-landau equationUnbounded-domainsDiffusion equationsEvolution-equationsBoundary-conditionsGlobal attractorCauchy-problemExistenceSemigroupsBehaviorFunciones (Matemáticas)1202 Análisis y Análisis Funcional