Square roots of elliptic operators

DOI10.1016/0022-1236(85)90025-4zbMath0592.47043OpenAlexW1991309791MaRDI QIDQ1075582

Alan G. R. McIntosh

Publication date: 1985

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90025-4

zbMATH Keywords

regularityparabolic and hyperbolic equationssquare rootsesquilinear formmaximal accretive

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) General theory of partial differential operators (47F05)

Related Items

Quadratic estimates and functional calculi of perturbed Dirac operators, Applications of the purely imaginary powers of operators in Hilbert spaces, ON STABILITY OF SQUARE ROOT DOMAINS FOR NON‐SELF‐ADJOINT OPERATORS UNDER ADDITIVE PERTURBATIONS, Fractional powers of operators corresponding to coercive problems in Lipschitz domains, Heat kernels of second order complex elliptic operators and applications, A Kato's second type representation theorem for solvable sesquilinear forms, Stability of square root domains associated with elliptic systems of PDEs on nonsmooth domains, Smooth perturbations of the functional calculus and applications to Riemannian geometry on spaces of metrics, Square roots of elliptic second order divergence operators on strongly Lipschitz domains: \(L ^{2}\) theory

Cites Work

• Espaces d'interpolation et domaines de puissances fractionnaires d'opérateurs
• Fractional powers of dissipative operators. II
• Domaine de la racine carrée de certains opérateurs différentiels accrétifs
• L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
• Multilinear Littlewood-Paley estimates with applications to partial differential equations
• Elliptic partial differential equations with mixed boundary conditions
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