NONLOCAL MULTIPOINT (IN TIME) PROBLEM WITH OBLIQUE DERIVATIVE FOR A PARABOLIC EQUATION WITH DEGENERATION
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Pukalsky, Ivan
Yashan, Bohdan
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Journal of Mathematical Sciences
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Abstract
For a second-order parabolic equation, we consider a multipoint (in time) problem with oblique derivative.
The coefficients of the equation and boundary condition have power singularities of any order in
time and spatial variables on a certain set of points. We establish conditions for the existence and
uniqueness of solution of the posed problem in Hölder’s spaces with power weight.
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Pukal’s’kyi І., Yashan B. (2020) NONLOCAL MULTIPOINT (IN TIME) PROBLEM WITH OBLIQUE DERIVATIVE FOR A PARABOLIC EQUATION WITH DEGENERATION. Journal of Mathematical Sciences Vol. 247, No. 1 DOI 10.1007/s10958-020-04788-z