caa a22 4500 605522383 CHVBK 20210128100744.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s10958-015-2352-2 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2352-2 The boundary-value problems for parabolic equations with a nonlocal condition and degenerations [Elektronische Daten] [Inna Isaryuk, Ivan Pukal'skii] With the help of the principle of maximum and the a priori estimates, we consider the first boundary-value problem and the problem with directional derivative under a nonlocal condition in the time variable for parabolic equations with power singularities of the coefficients in the time and space variables. The existence and the uniqueness of solutions of the posed problems are proved for the Hölder spaces with power weight. Springer Science+Business Media New York, 2015 Boundary-value problem nationallicence principle of maximum nationallicence problem with directional derivative nationallicence Isaryuk Inna Yu. Fed'kovich Chernovetskii National University, 2, Kotsyubinskii Str., 58012, Chernovtsy, Ukraine aut Pukal'skii Ivan Yu. Fed'kovich Chernovetskii National University, 2, Kotsyubinskii Str., 58012, Chernovtsy, Ukraine aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/1(2015-05-01), 26-38 1072-3374 207:1<26 2015 207 10958 https://doi.org/10.1007/s10958-015-2352-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2352-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Isaryuk Inna Yu. Fed'kovich Chernovetskii National University, 2, Kotsyubinskii Str., 58012, Chernovtsy, Ukraine aut NATIONALLICENCE 700 1- Pukal'skii Ivan Yu. Fed'kovich Chernovetskii National University, 2, Kotsyubinskii Str., 58012, Chernovtsy, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/1(2015-05-01), 26-38 1072-3374 207:1<26 2015 207 10958