Semigroups of Linear Operators

Author(s):  
Gheorghe Moroşanu
2013 ◽  
Vol 36 (2) ◽  
pp. 253-290 ◽  
Author(s):  
Angela A. Albanese ◽  
José Bonet ◽  
Werner J. Ricker

Author(s):  
Toka Diagana

C0-semigroups of linear operators play a crucial role in the solvability of evolution equations in the classical context. This paper is concerned with a brief conceptualization ofC0-semigroups on (ultrametric) free Banach spacesE. In contrast with the classical setting, the parameter of a givenC0-semigroup belongs to a clopen ballΩrof the ground fieldK. As an illustration, we will discuss the solvability of some homogeneousp-adic differential equations.


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