On a nonclassical interpretation of the four-dimensional Goursat problem for one hyberbolic equation

I. G. Mamedov

Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 4, pp. 59-66

Résumé

A homeomorphism between certain pairs of Banach space is revealed in the study of the four-dimensional Goursat problem for one differential equation with leading partial derivative of the sixth order $D_1D_2D_3^2D_4^2$ with discontinuous coefficients ($L_p$-coefficients) by reducing this problem to an equivalent integral equation.

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