On the Cattabriga problem for airy equation in domains with curvilinear boundaries

• Autorzy: Popiołek J.
• Języki publikacji: EN

Abstrakty

EN

This paper is concerned with the Cattabriga problem for Airy equation (a linear version of the Korteweg - de Vries equation) in domains with curvilinear boundaries. Applying the potential method we shall reduce the problem considered to a system of Volterra integral equations and then prove the existence of a solution of this system.This paper is related to the previous investigations, where the said problem has been solved in rectangular domains.

Słowa kluczowe

EN

partial differential equation; Airy equation; boundary value problem; Volterra integral equation

PL

problem Cattabriga; równania Airy; domeny; krzywoliniowe brzegi

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 1998
• Tom: Vol. 31, nr 3
• Strony: 643--655
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Popiołek J.