Strict monotonicity and unique continuation for the third-order spectrum of biharmonic operator

DOI10.1155/2012/571951zbMath1257.35137OpenAlexW2131552996WikidataQ58695561 ScholiaQ58695561MaRDI QIDQ1938240

Najib Tsouli, Khalil Ben Haddouch, El Bekkaye Mermri, Zakaria El Allali

Publication date: 4 February 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/571951

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Cites Work

• Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
• Unique continuation for elliptic operators: A geometric-variational approach
• Strict Monotonicity of Eigenvalues and Unique Continuation
• Spectre d'ordre supérieur et problèmes de non-résonance
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