By using techniques derived from the theory of stochastic differential equations, we prove that a class of second order degenerate elliptic operators having unbounded coefficients generates analytic semigroups in Cb(Rd), the space of uniformly continuous and bounded functions from Rd into R.

Analytic semigroups and degenerate elliptic operators with unbounded coefficients: a probabilistic approach / S. CERRAI. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 166:(2000), pp. 151-174. [10.1006/jdeq.2000.3788]

Analytic semigroups and degenerate elliptic operators with unbounded coefficients: a probabilistic approach

CERRAI, SANDRA
2000

Abstract

By using techniques derived from the theory of stochastic differential equations, we prove that a class of second order degenerate elliptic operators having unbounded coefficients generates analytic semigroups in Cb(Rd), the space of uniformly continuous and bounded functions from Rd into R.
2000
166
151
174
S. CERRAI
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/311127
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