Anselmo Torresblanca-Badillo, Edwin A. Bolaño-Benitez, Ismael Gutiérrez-García, Samuel Estala-Arias
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引用次数: 0
Abstract
This paper introduces new classes of p-adic operators representing m-dissipative pseudo-differential operators with negative definite symbols under certain conditions. We will study new types of semilinear problems and martingale problems associated with these operators, and we will prove that these pseudo-differential operators are the infinitesimal generators of strongly continuous contraction semigroups on \(L^2({\mathbb {Q}}_p^n)\). Also, this article introduces new families of measures, resolvent of measures, positive definite measures, Feller semigroups, and Markov processes.
期刊介绍：
The Journal of Pseudo-Differential Operators and Applications is a forum for high quality papers in the mathematics, applications and numerical analysis of pseudo-differential operators. Pseudo-differential operators are understood in a very broad sense embracing but not limited to harmonic analysis, functional analysis, operator theory and algebras, partial differential equations, geometry, mathematical physics and novel applications in engineering, geophysics and medical sciences.
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