most citedClassical solution of the initial-value problem for a quasilinear wave equation with discontinuous initial conditions

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math.AP2023★ 3 cited

Classical solution of the initial-value problem for a quasilinear wave equation with discontinuous initial conditions

Viktor I. Korzyuk, Jan V. Rudzko

For a one-dimensional mildly quasilinear wave equation given in the upper half-plane, we consider the Cauchy problem. The initial conditions have discontinuity of the first kind at…

math.AP2022★ 3 cited

Curvilinear parallelogram identity and mean-value property for a semilinear hyperbolic equation of second-order

V. I. Korzyuk, J. V. Rudzko

In this paper, we discuss some of the important qualitative properties of solutions of second-order hyperbolic equations, whose coefficients of the terms involving the second-order…