Unique continuation for the heat operator with potentials in weak spaces

Partial differential inequalities and systems of partial differential inequalities (35R45) Continuation and prolongation of solutions to PDEs (35B60) Second-order parabolic equations (35K10)

Cites Work

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Uniform Sobolev inequalities for second order non-elliptic differential operators
Sobolev spaces associated to the harmonic oscillator
A unique continuation theorem for second order parabolic differential operators
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Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
Multipliers for Hermite expansions
A strong unique continuation theorem for parabolic equations
Unique continuation for parabolic operators
Carleman inequalities and the heat operator
Hermite and special Hermite expansions revisited
Sharp resolvent estimates outside of the uniform boundedness range
Sharp \(L^p\)-\(L^q\) estimate for the spectral projection associated with the twisted Laplacian
\(L^p\) eigenfunction bounds for the Hermite operator
On a class of interpolation spaces
Sur un probléme d'unicité pour les systèmes d'équations aux dérivées partielles à deux variables indépendantes.
Sharp estimates of the potential kernel for the harmonic oscillator with applications
A uniqueness theorem for parabolic equations
Note on Counterexamples in Strong Unique Continuation Problems
Endpoint Strichartz estimates
Unique Continuation for Parabolic Operators. II
Carleman inequalities and the heat operator II
On (L p 0 (A 0 ), L p 1 (A 1 )) θ, q
Qnique Continuation for
Space like strong unique continuation for sublinear parabolic equations
On the boundary convergence of solutions to the Hermite–Schrödinger equation
Carleman Estimates and Unique Continuation for Second Order Parabolic Equations with Nonsmooth Coefficients
Partial differential equations
Bounds on the Hermite spectral projection operator

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