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math.AP2025
A Mixed Problem for the Wave Equation in a Curvilinear Half-Strip with Discontinuous Initial Data
Viktor I. Korzyuk, Jan V. Rudzko, Vladislav V. Kolyachko
For a one-dimensional wave equation, we consider a mixed problem in a curvilinear half-strip. The initial conditions have a first-kind discontinuity at one point. The mixed problem…
math.AP2023
On the Absence and Non-Uniqueness of Classical Solutions of Mixed Problems for the Telegraph Equation with a Nonlinear Potential
V. I. Korzyuk, J. V. Rudzko
For the telegraph equation with a nonlinear potential given in the first quadrant, we consider the first and the second mixed problem, for which we study issues related to the abse…