Problem of Functional Extension and Space-Like Surfaces in Minkowski Space | Zendy

E.G. Grigoryeva | Zendy; Alexey Alexandrovich Klyachin | Zendy; V. M. Miklyukov | Zendy

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Problem of Functional Extension and Space-Like Surfaces in Minkowski Space

Author(s) -

E.G. Grigoryeva,

Alexey Alexandrovich Klyachin,

V. M. Miklyukov

Publication year - 2002

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1105

Subject(s) - extension (predicate logic) , minkowski space , space (punctuation) , mathematics , pure mathematics , computer science , geometry , programming language , operating system

Let Ξ(x) be the distribution of convex sets over a domain D ⊂ R and let φ : ∂D → R be a function. We consider the existence problem of locally Lipschitz functions f defined in the domain D so that f |∂D = φ and ∇f(x) ∈ Ξ(x) almost everywhere in D. These questions are related to the existence problem for space-like surfaces of arbitrary codimension with prescribed boundary in Minkowski space.

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