A new regularity result for Ornstein-Uhlenbeck generators and applications

G. Da Prato ()
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G. Da Prato: Scuola Normale Superiore di Pisa

A chapter in Nonlinear Evolution Equations and Related Topics, 2003, pp 485-498 from Springer

Abstract: Abstract Let H be a separable real Hilbert space (norm $$ \left|\cdot\right|$$ , inner product $$ \left\langle{\cdot,\cdot}\right\rangle$$ ). We are given a linear operator $$A:D\left( A \right) \subset H \to H $$ such that HYPOTHESIS 1.1. (i) A is self-adjoint and there exists ω > 0 such that 1.1 $$ \left\langle {Ax,x} \right\rangle \leqslant - \omega {\left| x \right|^2}, x \in D(A). $$ (ii) A −1 is of trace class.

Keywords: 35K90; 35R15; 46B70; Ornstein-Uhlenbeck generators; maximal regularity (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-7924-8_26

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DOI: 10.1007/978-3-0348-7924-8_26

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