Displaying similar documents to “New optimal regularity results for infinite-dimensional elliptic equations”

Some results on elliptic and parabolic equations in Hilbert spaces

Giuseppe Da Prato (1996)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We consider elliptic and parabolic equations with infinitely many variables. We prove some results of existence, uniqueness and regularity of solutions.

Characterization of the domain of an elliptic operator of infinitely many variables in L 2 ⁢ μ spaces

Giuseppe Da Prato (1997)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We consider an elliptic operator associated to a Dirichlet form corresponding to a differential stochastic equation of potential form. We characterize the domain of the operator as a subspace of W 2 , 2 ⁢ μ , where m ⁢ u is the invariant measure of the differential stochastic equation.

Quasimonotone systems of higher order

Manfred Kronz (2003)

Bollettino dell'Unione Matematica Italiana

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We consider higher order quasimonotone nonlinear systems of divergence type with growth of order p , p ≥ 2 , and Dini continuous coefficients. Using the technique of harmonic approximation we give a direct partial regularity proof for weak solutions.

Remarks on the powers of elliptic operators.

Jan W. Cholewa, Tomasz Dlotko (2000)

Revista Matemática Complutense

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Under natural regularity assumptions on the data the powers of regular elliptic boundary value problems (e.b.v.p.) are shown to be higher order regular e.b.v.p.. This result is used in description of the domains of fractional powers of elliptic operators which information is in order important in regularity considerations for solutions of semilinear parabolic equations. Presented approach allows to avoid C-smoothness assumption on the data that is typical in many references. ...