Adjoint functions to boundary solutions of differential inclusions and smoothness of barrier solutions on semipermeable surfaces

• Autorzy: Leśniewski A.
• Języki publikacji: EN

Abstrakty

EN

The problem of existence of adjoint functions to boundary solutions is considered – it depends on the geometry of the attained set at the end point. This is applied to prove the smoothness of boundary solutions in the case of strictly convex right-hand side of di.erential inclusion which in turn permitts to show the smoothness of barrier solutions on semipermeable surfaces.

Słowa kluczowe

EN

differential inclusions; barrier solutions; adjoint functions; Hamiltonian differential inclusions; semipermeable surfaces; multifunction

PL

inkluzje różniczkowe; funkcje sprężone; multifunkcje

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 1
• Strony: 107--114
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Leśniewski A.

• Faculty of Mathematics & Information Science Warsaw University of Technology Plac Politechniki 1 00-661 Warsaw, Poland

Bibliografia

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