Fonctions biharmoniques adjointes

• Autorzy: Emmanuel P. Smyrnelis
• Języki publikacji: EN

Abstrakty

EN

The study of the equation (L₂L₁)*h = 0 or of the equivalent system L*₂h₂ = -h₁, L*₁h₁ = 0, where $L_{j} (j=1,2)$ is a second order elliptic differential operator, leads us to the following general framework: Starting from a biharmonic space, for example the space of solutions (u₁,u₂) of the system L₁u₁ = -u₂, L₂u₂ = 0, $L_{j} (j=1,2)$ being elliptic or parabolic, and by means of its Green pairs, we construct the associated adjoint biharmonic space which is in duality with the initial one.

Kategorie tematyczne

• 31B30: Biharmonic and polyharmonic equations and functions
• 31D05: Axiomatic potential theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 99
• Numer: 1
• Strony: 1-21

Daty

wydano

2010

Twórcy

autor

Emmanuel P. Smyrnelis

• Department of Mathematics, University of Athens, Athens, Greece

Identyfikatory

DOI

10.4064/ap99-1-1