Nonclassical Analog of the Goursat Problem for a Three-Dimensional Equation with Highest Derivative

I. G. Mamedov

Matematičeskie zametki, Tome 96 (2014) no. 2, pp. 251-260.

Résumé

In the present paper, we study the Goursat problem for a three-dimensional equation with highest derivative of fifth order with $L_p$-coefficients and establish a homeomorphism between certain pairs of Banach spaces by reducing this problem to the equivalent Volterra integral equation.

Détail

Keywords: three-dimensional equation with highest derivative of fifth order, Volterra integral equation, Sobolev space.
Mots-clés : Goursat problem

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