Representation formula for solutions of Eikonal type equations

Gudynas, Gintautas Vincas

doi:10.15388/NA.2001.6.1.15225

Use this url to cite publication: https://hdl.handle.net/20.500.14172/2823

Representation formula for solutions of Eikonal type equations

Type of publication

Straipsnis kitoje duomenų bazėje / Article in other database (S4)

Type of document

type::text::journal::journal article::research article

Author(s)

Author	Affiliation
Gudynas, Gintautas Vincas	Informatikos ir statistikos katedra / Department of Informatics and Statistics (2703)

Title

Representation formula for solutions of Eikonal type equations

[en]

Other Title

Apie Eikonalo lygties sprendinių išraišką

[lt]

Date Issued

Date
2001

Extent

p. 57-65

Is part of

Nonlinear analysis : modelling and control. Vilnius, 2001, vol. 6, no. 1.

Research Area

Field of Science

Keywords (en)

Abstract (en)

Equations of an eikonal type ones arise in many areas of applications, including optics, fluid mechanics, material sciences, and control theory. This article investigates the representation formula for semiconcave solutions of the boundary problem for eikonal type equation. The formula is given by forming envelope of some fundamental solutions of the equation. Using these fundamental solutions we obtain the representation formula for solutions of Cauchy problem for appropriate Hamilton – Jacobi equation.