On the Evolutionary Fractionalp-Laplacian | Zendy

Dimitri Puhst | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On the Evolutionary Fractionalp-Laplacian

Author(s) -

Dimitri Puhst

Publication year - 2015

Publication title -

applied mathematics research express

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.763

H-Index - 20

eISSN - 1687-1200

pISSN - 1687-1197

DOI - 10.1093/amrx/abv003

Subject(s) - mathematics , nonlinear system , compact space , monotonic function , mathematical proof , operator (biology) , argument (complex analysis) , laplace operator , order (exchange) , p laplacian , pure mathematics , conservation law , mathematical analysis , physics , biochemistry , chemistry , geometry , finance , repressor , quantum mechanics , transcription factor , economics , gene , boundary value problem

In this work existence results on nonlinear first order as well as doubly nonlinear second order evolution equations involving the fractional p-Laplacian are presented. The proofs do not exploit any monotonicity assumption but rely on a compactness argument in combination with regularity of the Galerkin scheme and the nonlocal character of the operator.

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