Strong maximum principles for infinite systems of parabolic differential-functional inequalities with nonstandard initial inequalities (u^j(x,t₀)-K^j) + ∑h_i(x)(u^j(x,T_i-K^j≤0

• Autorzy: Brandys J.
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to present strong maximum principles for infinite systems of parabolic differential-functional inequalities with nonstandard initial inequalities with sums in relatively arbitrary (n+l)-dimensional time-space sets more general than the cylindrical domain.

Słowa kluczowe

EN

infinite systems; nonstandard initial inequalities; strong maximum principle

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2008
• Tom: Nr 39
• Strony: 17--26
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Brandys J.

• Cracow University of Technology, Independend Division of Descriptive Geometry and Engineering Graphics, Warszawska 24, 31-155 Cracow; Poland,

Bibliografia

• [1]BYSZEWSKI L., Strong maximum principle for implicit non-linear parabolic functional-differential inequalities in arbitrary domains, Zeszyty Naukowe Uniwersytetu Jagiellońskiego, Universitatis Iagellonicae Acta Mathematica, 24 (1984), 327-339.
• [2]BYSZEWSKI L., Strong maximum and minimum principles for parabolic functio-nal-differential problems with non-local inequalities , Annales Polonici Mathematici, 52(1990), 195-204.
• [3]BRANDYS J., Strong maximum principles for infinite systems of parabolic differential-functional inequalities with initial inequalities , (to appear)
• [4]CHABROWSKI J., On non-local problems for parabolic equations, Nagoya Math. J., 93(1984), 109-131.
• [5]SZARSKI J., Strong maximum principle for non-linear parabolic differentialfunctional inequalities, Annales Polonici Mathematici, 29(1974), 207-214.
• [6]SZARSKI J., Strong maximum principle for non-linear parabolic differentialfunctional inequalities in arbitrary domains, Annales Polonici Mathematici,31 (1975), 197-203.
• [7]SZARSKI J., Infinite systems of parabolic differential-functional inequalities, Bull Acad. Polon. Sci., Sér. sci. math., 28.9-10(1980), 477-481.
• [8]VABISHCHEVICH P . N . , Non-local parabolic problems and the inverse heatconduction problem (in Russian), Diff. Uravn., 17(1981), 1193-1199.