Investigation of Solvability of the First Boundary-Value Problem for a Parabolic Equation with Incompatibility of Initial and Boundary Data
Bizhanova G.I.
August 2024Springer
Journal of Mathematical Sciences (United States)
2024#283Issue 5721 - 744 pp.
The first boundary-value problem for the parabolic equation of the second order under the nonfulfillment of the compatibility conditions of initial and boundary data is studied. Existence, uniqueness, and estimates of the solution are established. It is proved that the solution to the problem is the sum of the Hölder and singular functions that belong to weighted Hölder spaces.
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Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling
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