Feller semigroups obtained by variable order subordination
- Autores: Kristian P. Evans, Niels Jacob
- Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 20, Nº 2, 2007, págs. 293-307
- Idioma: inglés
- DOI: 10.5209/rev_rema.2007.v20.n2.16482
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Resumen
For certain classes of negative definite symbols q(x,?) and state space dependent Bernstein function f(x,s) we prove that -p(x,D), the pseudo-differential operator with symbol -p(x,?) = -f(x,q(x,?)), extends to the generator of a Feller semigroup. Our result extends previously known results related to operators of variable (fractional) order of differentiation, or variable order fractional powers. New concrete examples are given.
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