Carleman estimates and unique continuation property for the anisotropic differential-operator equations
DOI10.1007/s11425-008-0001-7zbMath1156.35480OpenAlexW2130275801MaRDI QIDQ946374
Publication date: 23 September 2008
Published in: Science in China. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-008-0001-7
unique continuationCarleman estimatesembedding theoremsBanach-valued function spacesoperator-valued Fourier multipliersinterpolation of Banach spacesmaximal \(L_p\)-regularitydifferential operator equations
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)
Cites Work
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- Some remarks on Banach spaces in which martingale difference sequences are unconditional
- Equations d'évolution linéaires associées à des semi-groupes de contractions dans les espaces \(L^ p\). (Evolution equations associated to contraction semigroups in \(L^ p\) spaces)
- Carleman inequalities for the Dirac and Laplace operators and unique continuation
- Unique continuation for \(|\Delta u| \leq V|\nabla u|\) and related problems
- Su un problema ai limiti per certe equazioni astratte del secondo ordine
- On the closedness of the sum of two closed operators
- Coercive boundary value problems for regular degenerate differential-operator equations
- Embedding operators and maximal regular differential-operator equations in Banach-valued function spaces
- On a class of interpolation spaces
- Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
- Abstract boundary-value operators and their adjoints
- Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients
- On operator-valued Fourier multiplier theorems
- Oscillatory Integrals and Unique Continuation for Second Order Elliptic Differential Equations
- On Fourier Multiplier Transformations of Banach-Valued Functions
- IMBEDDING THEOREMS FOR ABSTRACT FUNCTION SPACES AND THEIR APPLICATIONS
- Operator-Valued Fourier Multipliers, Vector - Valued Besov Spaces, and Applications
- On Well-Posedness of the Nonlocal Boundary Value Problems for Elliptic Equations
- ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
- Complete second order linear differential equations in Hilbert spaces
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