The boundary-value problems for parabolic equations with a nonlocal condition and degenerations

Verfasser / Beitragende:
[Inna Isaryuk, Ivan Pukal'skii]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 207/1(2015-05-01), 26-38
Format:
Artikel (online)
ID: 605522383
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024 7 0 |a 10.1007/s10958-015-2352-2  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2352-2 
245 0 4 |a The boundary-value problems for parabolic equations with a nonlocal condition and degenerations  |h [Elektronische Daten]  |c [Inna Isaryuk, Ivan Pukal'skii] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a Boundary-value problem  |2 nationallicence 
690 7 |a principle of maximum  |2 nationallicence 
690 7 |a problem with directional derivative  |2 nationallicence 
700 1 |a Isaryuk  |D Inna  |u Yu. Fed'kovich Chernovetskii National University, 2, Kotsyubinskii Str., 58012, Chernovtsy, Ukraine  |4 aut 
700 1 |a Pukal'skii  |D Ivan  |u Yu. Fed'kovich Chernovetskii National University, 2, Kotsyubinskii Str., 58012, Chernovtsy, Ukraine  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/1(2015-05-01), 26-38  |x 1072-3374  |q 207:1<26  |1 2015  |2 207  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2352-2  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2352-2  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Isaryuk  |D Inna  |u Yu. Fed'kovich Chernovetskii National University, 2, Kotsyubinskii Str., 58012, Chernovtsy, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Pukal'skii  |D Ivan  |u Yu. Fed'kovich Chernovetskii National University, 2, Kotsyubinskii Str., 58012, Chernovtsy, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/1(2015-05-01), 26-38  |x 1072-3374  |q 207:1<26  |1 2015  |2 207  |o 10958