Lecture notes on quantitative unique continuation for solutions of second order elliptic equations

IAS/Park City Mathematics Series - Harmonic Analysis and Applications ◽

10.1090/pcms/027/01 ◽

2020 ◽

pp. 1-34

Author(s):

Alexander Logunov ◽

Eugenia Malinnikova

Keyword(s):

Elliptic Equations ◽

Unique Continuation ◽

Second Order ◽

Lecture Notes ◽

Quantitative Unique Continuation ◽

Second Order Elliptic Equations

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Sharp counterexamples in unique continuation for second order elliptic equations

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.2002.003 ◽

2002 ◽

Vol 2002 (542) ◽

Author(s):

Herbert Koch ◽

Daniel Tataru

Keyword(s):

Elliptic Equations ◽

Unique Continuation ◽

Second Order ◽

Second Order Elliptic Equations

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Recent Results on Unique Continuation for Second Order Elliptic Equations

Carleman Estimates and Applications to Uniqueness and Control Theory ◽

10.1007/978-1-4612-0203-5_6 ◽

2001 ◽

pp. 73-84 ◽

Author(s):

Herbert Koch ◽

Daniel Tataru

Keyword(s):

Elliptic Equations ◽

Unique Continuation ◽

Second Order ◽

Second Order Elliptic Equations

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Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients

Communications on Pure and Applied Mathematics ◽

10.1002/1097-0312(200103)54:3<339::aid-cpa3>3.0.co;2-d ◽

2001 ◽

Vol 54 (3) ◽

pp. 339-360 ◽

Author(s):

Herbert Koch ◽

Daniel Tataru

Keyword(s):

Elliptic Equations ◽

Unique Continuation ◽

Second Order ◽

Carleman Estimates ◽

Nonsmooth Coefficients ◽

Second Order Elliptic Equations

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Properties of a solution of the Dirichlet problem for second-order elliptic equations in a class of domains with nonsmooth boundary. I

Lithuanian Mathematical Journal ◽

10.1007/bf00966149 ◽

1987 ◽

Vol 26 (2) ◽

pp. 153-163

Author(s):

K. Pileckas ◽

K. Samaitis

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Second Order ◽

Nonsmooth Boundary ◽

Second Order Elliptic Equations

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Regularity of the generalized solutions of the first boundary-value problem for quasilinear degenerate second-order elliptic equations

Journal of Soviet Mathematics ◽

10.1007/bf01788913 ◽

1984 ◽

Vol 25 (1) ◽

pp. 815-832 ◽

Author(s):

A. V. Ivanov

Keyword(s):

Boundary Value Problem ◽

Elliptic Equations ◽

Boundary Value ◽

Second Order ◽

Generalized Solutions ◽

Second Order Elliptic Equations

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On Regularity and Existence of Viscosity Solutions of Nonlinear Second Order, Elliptic Equations

Partial Differential Equations and the Calculus of Variations ◽

10.1007/978-1-4684-9196-8_41 ◽

1989 ◽

pp. 939-957 ◽

Author(s):

Neil S. Trudinger

Keyword(s):

Viscosity Solutions ◽

Elliptic Equations ◽

Second Order ◽

Regularity And Existence ◽

Second Order Elliptic Equations

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The Dirichlet Problem for Two-Dimensional Quasi-Linear Second-Order Elliptic Equations

Linear Operators and Operator Equations ◽

10.1007/978-1-4757-0013-8_7 ◽

1971 ◽

pp. 115-125

Author(s):

N. M. Ivochkina

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Second Order ◽

Two Dimensional ◽

Second Order Elliptic Equations

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Three sphere inequality for second order elliptic equations with coefficients with jump discontinuity

Journal of Differential Equations ◽

10.1016/j.jde.2018.07.069 ◽

2019 ◽

Vol 266 (2-3) ◽

pp. 936-941 ◽

Author(s):

Michele Di Cristo ◽

Yong Ren

Keyword(s):

Elliptic Equations ◽

Second Order ◽

Jump Discontinuity ◽

Three Sphere ◽

Second Order Elliptic Equations

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The Behavior of Solutions to the Dirichlet Problem for Second Order Elliptic Equations with Variable Nonlinearity Exponent in a Neighborhood of a Conical Boundary Point

Journal of Mathematical Sciences ◽

10.1007/s10958-015-2570-7 ◽

2015 ◽

Vol 210 (4) ◽

pp. 341-370 ◽

Author(s):

Yu. Alkhutov ◽

M. V. Borsuk

Keyword(s):

Dirichlet Problem ◽

Boundary Point ◽

Elliptic Equations ◽

Second Order ◽

Second Order Elliptic Equations

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Maximum Principles for $P1$-Conforming Finite Element Approximations of Quasi-linear Second Order Elliptic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/110833737 ◽

2012 ◽

Vol 50 (2) ◽

pp. 626-642 ◽

Author(s):

Junping Wang ◽

Ran Zhang

Keyword(s):

Finite Element ◽

Elliptic Equations ◽

Second Order ◽

Maximum Principles ◽

Finite Element Approximations ◽

Conforming Finite Element ◽

Second Order Elliptic Equations

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