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Mamedov, Il’gar Gurbat

On a nonclassical interpretation of the four-dimensional Goursat problem for a hyberbolic equation. (Russian. English summary) Zbl 1474.35455

Vladikavkaz. Mat. Zh. 17, No. 4, 59-66 (2015).
Summary: A homeomorphism between certain pairs of Banach spaces is revealed in the study of the four-dimensional Goursat problem for a 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.

MSC:

35L35 Initial-boundary value problems for higher-order hyperbolic equations

Keywords:

hyperbolic equation; four-dimensional Goursat problem; equations with discontinuous coefficients
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Full Text: MNR

References:

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