Counterexamples for unique continuation

DOI10.1007/BF01168146zbMath0653.30013WikidataQ125002756 ScholiaQ125002756MaRDI QIDQ1107658

Olli Martio

Publication date: 1988

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155266

zbMATH Keywords

unique continuationvariational integralsquasiregular mappings

Mathematics Subject Classification ID

Continuation and prolongation of solutions to PDEs (35B60) Quasiconformal mappings in the complex plane (30C62)

Related Items (10)

A-superharmonic functions and supersolutions of degenerate elliptic equations ⋮ Equivalence of viscosity and weak solutions for the \(p(x)\)-Laplacian ⋮ On the fusion problem for degenerate elliptic equations ⋮ Strict monotonicity and unique continuation for general non-local eigenvalue problems ⋮ Strong unique continuation for general elliptic equations in 2D ⋮ An ill-posed estimate for a class of degenerate quasilinear elliptic equations ⋮ The unique continuation property for a nonlinear equation on trees ⋮ Removability of a Level Set for Solutions of Quasilinear Equations ⋮ Arithmetic three-spheres theorems for quasilinear Riccati type inequalities ⋮ On the generalization of the Courant nodal domain theorem

Cites Work

• A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
• Analytical foundations of the theory of quasiconformal mappings in R^n
• Conformally Invariant Variational Integrals
• Injectivity theorems in plane and space
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