Pavel E. Sobolevskii (1992)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The realization of an elliptic operator A under suitable boundary conditions is considered and the dependence of the square-root of A from the various conditions is studied.
Giovanni Mancini, Enzo Mitidieri (1986-1987)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Paul C. Fife (1966)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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.
Kazuhiro Kurata, Satoko Sugano (2000)
Studia Mathematica
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We show a weighted version of Fefferman-Phong's inequality and apply it to give an estimate of fundamental solutions, eigenvalue asymptotics and exponential decay of eigenfunctions for certain degenerate elliptic operators of second order with positive potentials.
Steve Hofmann, Alan McIntosh (2002)
Publicacions Matemàtiques
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We solve, in two dimensions, the "square root problem of Kato". That is, for L ≡ -div (A(x)∇), where A(x) is a 2 x 2 accretive matrix of bounded measurable complex coefficients, we prove that L1/2: L1 2(R2) → L2(R2). [Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial...