Strict Monotonicity and Unique Continuation for the Third‐Order Spectrum of Biharmonic Operator | Zendy

Khalil Ben Haddouch | Zendy; Zakaria El Allali | Zendy; El Bekkaye Mermri | Zendy; Najib Tsouli | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Strict Monotonicity and Unique Continuation for the Third‐Order Spectrum of Biharmonic Operator

Author(s) -

Khalil Ben Haddouch,

Zakaria El Allali,

El Bekkaye Mermri,

Najib Tsouli

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/571951

Subject(s) - biharmonic equation , mathematics , monotonic function , spectrum (functional analysis) , laplace operator , eigenfunction , operator (biology) , continuation , eigenvalues and eigenvectors , p laplacian , order (exchange) , property (philosophy) , pure mathematics , mathematical analysis , combinatorics , boundary value problem , biochemistry , physics , chemistry , finance , repressor , quantum mechanics , transcription factor , economics , gene , philosophy , epistemology , computer science , programming language

We will study the spectrum for the biharmonic operator involving the laplacian and the gradient of the laplacian with weight, which we call third-order spectrum. We will show that the strict monotonicity of the eigenvalues of the operator , where , holds if some unique continuation property is satisfied by the corresponding eigenfunctions

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research