Approximating a Feller Semigroup by Using the Yosida Approximation of the Symbol of its Generator |
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| Authors: | Niels Jacob Alexander Potrykus |
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| Institution: | (1) Department of Mathematics, University of Wales Swansea, Singleton Park, Swansea, SA2 8PP, United Kingdom |
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| Abstract: | We show that if the pseudodifferential operator −q(x,D) generates a Feller semigroup (Tt)t≥0 then the Feller semigroups (Tt(v))t≥0 generated by the pseudodifferential operators with symbol  will converge strongly to (Tt)t≥0 as ν →∞. |
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| Keywords: | Primary 47D07 Secondary 47G30 35S05 47D03 60J35 |
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