A Counterexample to strong uniqueness for all powers of the laplace operator

DOI10.1080/03605300008821525zbMath0968.35135OpenAlexW1974277538MaRDI QIDQ4951900

Cataldo Grammatico, Ferruccio Colombini

Publication date: 18 September 2001

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300008821525

zbMATH Keywords

Laplace operatorcounterexample to strong uniqueness

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) General theory of partial differential operators (47F05)

Related Items (1)

Strong unique continuation for 𝑚-th powers of a Laplacian operator with singular coefficients

Cites Work

• Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
• Uniqueness theorems for second order elliptic differential equations
• Uniqueness for the Characteristic Cauchy Problem and Strong Unique Continuation for Higher Order Partial Differential Inequalities
• A Counterexample to Strong Uniqueness for Partial Differential Equations of Schrödinger's Type
• A result on strong unique continuation for the laplace operator

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