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Elliptic Pseudo-Differential Equations and Sobolev Spaces over p-adic Fields
J. J. Rodriguez-Vega, W. A. Zuniga-Galindo
We study the solutions of equations of type , where is a -adic pseudo-differential operator. If is a Bruhat-Schwartz function, then there exists a distri…
Taibleson Operators, p-adic Parabolic Equations and Ultrametric Diffusion
J. J. Rodriguez-Vega, W. A. Zuniga-Galindo
We give a multimensional version of the p-adic heat equation, and show that its fundamental solution is the transition density of a Markov process.
Decay of solutions of wave-type pseudo-differential equations over p-adic fields
W. A. Zuniga-Galindo
During the eighties several physical models using p-adic numbers were proposed. Particularly various models of p-adic quantum mechanics. As a consequence of this fact several new m…
Pseudo-differential equations connected with p-adic forms and local zeta functions
W. A. Zuniga-Galindo
We study the asymptotics of fundamental solutions of p-adic pseudo-differential equations connected with homogeneous polynomials by using techniques of local zeta functions theory.