Zobrazeno 1 - 10
of 208
pro vyhledávání: '"Kochubei, Anatoly"'
In this paper we study a new class of pseudo-differential equations on functions of two $p$-adic variables. It is proved that the correspondent Cauchy problem has a unique solution. Some properties of this solution are studied, in particular, the fin
Externí odkaz:
http://arxiv.org/abs/2409.00136
We develop a theory of generalized solutions of the nonlinear evolution equations for complex-valued functions of a real positive time variable and $p$-adic spatial variable, which can be seen as non-Archimedean counterparts of the fractional porous
Externí odkaz:
http://arxiv.org/abs/2310.03323
Autor:
Kochubei, Anatoly N.
We study the Vladimirov-Taibleson operator, a model example of a pseudo-differential operator acting on real- or complex-valued functions defined on a non-Archimedean local field. We prove analogs of classical inequalities for fractional Laplacian, s
Externí odkaz:
http://arxiv.org/abs/2209.07998
In earlier papers (A. N. Kochubei, Pacif. J. Math., 269 (2014), 355-369; J. Math. Anal. Appl.483 (2020), Article 123609), one of the authors developed a theory of pseudo-differential equations for radial real-valued functions on a non-Archimedean loc
Externí odkaz:
http://arxiv.org/abs/2203.06623
Autor:
Kochubei, Anatoly N.
Let $D^\alpha, \alpha>0$, be the Vladimirov-Taibleson fractional differentiation operator acting on complex-valued functions on a non-Archimedean local field. The identity $D^\alpha D^{-\alpha}f=f$ was known only for the case where $f$ has a compact
Externí odkaz:
http://arxiv.org/abs/2107.00889
Autor:
Kochubei, Anatoly N.
In an earlier paper (A. N. Kochubei, {\it Pacif. J. Math.} 269 (2014), 355--369), the author considered a restriction of Vladimirov's fractional differentiation operator $D^\alpha$, $\alpha >0$, to radial functions on a non-Archimedean field. In part
Externí odkaz:
http://arxiv.org/abs/2005.11166
We study the Cauchy problem for $p$-adic nonlinear evolutionary pseudo-differential equations for complex-valued functions of a real positive time variable and p-adic spatial variables. Among the equations under consideration there is the p-adic anal
Externí odkaz:
http://arxiv.org/abs/1909.06758