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Boundary value problems with continuous and special gluing conditions for parabolic-hyperbolic type equations

100%

Eshmatov B., Karimov E.

Open Mathematics

2007

tom 5

nr 4

741-750

In the present paper we study the unique solvability of two non-local boundary value problems with continuous and special gluing conditions for parabolic-hyperbolic type equations. The uniqueness of the solutions of the considered problems are proven by the “abc” method. Existence theorems for the solutions of these problems are proven by the method of integral equations. The obtained results can be used for studying local and non-local boundary-value problems for mixed-hyperbolic type equations with two and three lines of changing type.

Uniqueness results for the Minkowski problem extended to hedgehogs

52%

Martinez-Maure Y.

Open Mathematics

2012

tom 10

nr 2

440-450

The classical Minkowski problem has a natural extension to hedgehogs, that is to Minkowski differences of closed convex hypersurfaces. This extended Minkowski problem is much more difficult since it essentially boils down to the question of solutions of certain Monge-Ampère equations of mixed type on the unit sphere $\mathbb{S}^n $ of ℝn+1. In this paper, we mainly consider the uniqueness question and give first results.

Ograniczanie wyników

2 Open Mathematics

1 Eshmatov B.

1 Karimov E.

1 Martinez-Maure Y.

1 2012

1 2007

Wyniki wyszukiwania

Boundary value problems with continuous and special gluing conditions for parabolic-hyperbolic type equations

Uniqueness results for the Minkowski problem extended to hedgehogs