The maximum principle for viscosity solutions of elliptic differential functional equations

• Autorzy: Karpowicz A.
• Języki publikacji: EN

Abstrakty

EN

This paper is devoted to the study of the maximum principle for the elliptic equation with a deviated argument. We will consider viscosity solutions of this equation.

Słowa kluczowe

EN

maximum principle; viscosity solution; elliptic equations

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2013
• Tom: Vol. 33, no. 1
• Strony: 99--105
• Opis fizyczny: Bibliogr. 5 poz., wykr.

Twórcy

autor

Karpowicz A.

• University of Gdansk, Institute of Mathematics, Wit Stwosz St. 57, 80-952 Gdansk, Poland,

Bibliografia

• [1] A. Augustynowicz, Existence of solutions to BVP for linear differential-functional equations of elliptic type, Circolo Mat. Palermo 47 (1998), 99-105.
• [2] M.G. Crandall, H. Ishii, P.L. Lions, User's quide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc. (N.S.) 27 (1992) 1, 1-67.
• [3] M.G. Crandall, H. Ishii, The maximum principle for semicontinuous functions, Differential Integral Equations 3 (1990), 1001-1014.
• [4] R. Jensen, The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations, Arch. Rat. Mech. Anal. 101 (1988), 1-27.
• [5] K. Topolski, On the uniqueness of viscosity solutions for first order partial differential-functional equations, Ann. Polon. Math. LIX (1994), 65-75