Maximal regularity for elliptic equations with unbounded coefficients was studied. The problem was formulated in terms of the elliptic operator which was assumed to be symmetric, dissipative and closable. The operator studies a dynamical system described by a differential equation of potential type perturbed by a white noise. The closure of the elliptic operator was shown to be m-dissipative and the domain of the closure was also derived.
MAXIMAL L^P REGULARITY FOR ELLIPTIC EQUATIONS WITH UNBOUNDED COEFFICIENTS / G. DA PRATO; V. VESPRI. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 49:(2002), pp. 747-755. [10.1016/S0362-546X(01)00133-X]
MAXIMAL L^P REGULARITY FOR ELLIPTIC EQUATIONS WITH UNBOUNDED COEFFICIENTS.
VESPRI, VINCENZO
2002
Abstract
Maximal regularity for elliptic equations with unbounded coefficients was studied. The problem was formulated in terms of the elliptic operator which was assumed to be symmetric, dissipative and closable. The operator studies a dynamical system described by a differential equation of potential type perturbed by a white noise. The closure of the elliptic operator was shown to be m-dissipative and the domain of the closure was also derived.
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