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A unique continuation theorem for second order parabolic differential operators

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Uniqueness in Cauchy problems for differential equations with constant leading coefficients
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Introduction to Pseudodifferential and Fourier Integral Operators
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The analysis of linear partial differential operators
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The spectral function of an elliptic operator
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A note on spherical summation multipliers
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Unique continuation for some evolution equations
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Solution of cauchy problems modulo flat functions
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A note on unique continuation for Schrödinger’s operator
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Oscillatory Integrals and Unique Continuation for Second Order Elliptic Differential Equations
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Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
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OSCILLATORY INTEGRALS IN FOURIER ANALYSIS
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Oscillatory integrals and multiplier problem for the disc

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Dispersive estimates for principally normal pseudodifferential operators
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A Note on Unique Continuation for Parabolic Operators with Singular Potentials
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Unique Continuation
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Carleman Estimates: A First Look with Simple Examples and Basic Applications
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Unique continuation for parabolic operators
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Strong backward uniqueness for sublinear parabolic equations
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Backward Uniqueness for Parabolic Equations
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A strong unique continuation theorem for parabolic equations
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On quantitative uniqueness for elliptic equations
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Approximate two-sphere one-cylinder inequality in parabolic periodic homogenization with suitable lower-order terms
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Sets of Unique Continuation for Heat Equation
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A new global Carleman estimate for Cahn–Hilliard type equation and its applications
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Unique continuation for a fourth-order stochastic parabolic equation
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Unique Continuation Properties and Quantitative Estimates of Unique Continuation for Parabolic Equations
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Exact controllability of the Navier-Stokes and Boussinesq equations
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Doubling properties of caloric functions
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Carleman Estimates and Unique Continuation for Second Order Parabolic Equations with Nonsmooth Coefficients
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Carleman estimates and boundedness of associated multiplier operators
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Carleman Estimates, Optimal Three Cylinder Inequality, and Unique Continuation Properties for Solutions to Parabolic Equations
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Unique Continuation for Parabolic Operators. II
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Quantitative estimates of unique continuation for parabolic equations, determination of unknown time-varying boundaries and optimal stability estimates
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Carleman estimates for parabolic equations and applications
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Carleman estimate for the Navier–Stokes equations and an application to a lateral Cauchy problem
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Uniqueness in Cauchy Problems for Hyperbolic Differential Operators
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Uniqueness of self-similar shrinkers with asymptotically conical ends
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Backwards Uniqueness for the Ricci Flow
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Space like strong unique continuation for sublinear parabolic equations
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A short proof of backward uniqueness for some geometric evolution equations
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Backward uniqueness for parabolic operators with variable coefficients in a half space
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Radner equilibrium and systems of quadratic BSDEs with discontinuous generators
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Carleman inequalities and the heat operator
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Unique continuation for the heat operator with potentials in weak spaces
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On a Backward Estimate for Solutions of Parabolic Differential Equations and its Application to Unique Continuation
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Carleman Inequalities for Parabolic Equations in Sobolev Spaces of Negative Order and Exact Controllability for Semilinear Parabolic Equations
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On Carleman estimates for hyperbolic equations
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A unique continuation property for a class of parabolic differential inequalities in a bounded domain
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Classification of local asymptoticsfor solutions to heat equations withinverse-square potentials
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A quantitative internal unique continuation for stochastic parabolic equations
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Quantification of the unique continuation property for the nonstationary Stokes problem
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Точная управляемость уравнений Навье - Стокса и Буссинеска
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Decay at infinity of caloric functions within characteristic hyperplanes
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Backwards uniqueness of the Ricci flow
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Sets of unique continuation for heat equation
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Unique continuation for stochastic parabolic equations
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Observation of the Stokes system for general boundary condition
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