TY - JOUR
T1 - Entropy, Feller Processes and p-Adic Analogues of the Scattering Equation
AU - Galeano-Peñaloza, J.
AU - Casas-Sánchez, Oscar F.
AU - Chacón-Cortés, Leonardo F.
N1 - Publisher Copyright:
© 2022, Pleiades Publishing, Ltd.
PY - 2022/6
Y1 - 2022/6
N2 - Abstract: There are several techniques in the classical case for some integro-differential equations involving the concept of entropy to show some properties of the solution. In this work, we deal with the p-adic scattering equation. We adapt these methods to investigate the convergence of the solutions and their qualitative properties, including mass conservation, regularity and stability. Most of these results follow from the General Relative Entropy Inequality. We also show the existence of Feller processes attached to the p-adic scattering equations.
AB - Abstract: There are several techniques in the classical case for some integro-differential equations involving the concept of entropy to show some properties of the solution. In this work, we deal with the p-adic scattering equation. We adapt these methods to investigate the convergence of the solutions and their qualitative properties, including mass conservation, regularity and stability. Most of these results follow from the General Relative Entropy Inequality. We also show the existence of Feller processes attached to the p-adic scattering equations.
KW - Feller process
KW - entropy methods
KW - general relative entropy inequality
KW - p-adic numbers
KW - scattering equation
UR - http://www.scopus.com/inward/record.url?scp=85130310208&partnerID=8YFLogxK
U2 - 10.1134/S2070046622020029
DO - 10.1134/S2070046622020029
M3 - Article
AN - SCOPUS:85130310208
SN - 2070-0466
VL - 14
SP - 103
EP - 115
JO - P-Adic Numbers, Ultrametric Analysis, and Applications
JF - P-Adic Numbers, Ultrametric Analysis, and Applications
IS - 2
ER -