TY - JOUR

T1 - A Boundary Value Problem in a Quarter-Space for a Pseudohyperbolic Equation

AU - Shemetova, V. v.

N1 - The work was supported by the Russian Science Foundation (project no. 24-21-00370). V. V. Shemetova A Boundary Value Problem in a Quarter-Space for a Pseudohyperbolic Equation / V. V. Shemetova // Uzbek Mathematical Journal. – 2025. – Vol. 69, No. 2. – P. 239-252. – DOI 10.1134/S1055134425030071

PY - 2025/10/14

Y1 - 2025/10/14

N2 - We consider an initial-boundary value problem in a quarter-space for a pseudohyperbolic equation that is not resolved with respect to the highest time derivative. We find sufficient conditions on the right-hand side of this equation that guarantee existence of solutions of the problem in Sobolev spaces with exponential weight.

AB - We consider an initial-boundary value problem in a quarter-space for a pseudohyperbolic equation that is not resolved with respect to the highest time derivative. We find sufficient conditions on the right-hand side of this equation that guarantee existence of solutions of the problem in Sobolev spaces with exponential weight.

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105018819473&origin=inward

U2 - 10.1134/S1055134425030071

DO - 10.1134/S1055134425030071

M3 - Article

VL - 35

SP - 239

EP - 252

JO - Siberian Advances in Mathematics

JF - Siberian Advances in Mathematics

SN - 1055-1344

IS - 3

ER -