Elliptic-parabolic equation and the corresponding problem with free boundary II: A smooth solution

Verfasser / Beitragende:
[Sergey Degtyarev]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 207/1(2015-05-01), 1-25
Format:
Artikel (online)
ID: 605522405
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024 7 0 |a 10.1007/s10958-015-2351-3  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2351-3 
100 1 |a Degtyarev  |D Sergey  |u Institute of Applied Mathematics and Mechanics of NASU, 74, R. Luxemburg Str., 83114, Donetsk, Ukraine  |4 aut 
245 1 0 |a Elliptic-parabolic equation and the corresponding problem with free boundary II: A smooth solution  |h [Elektronische Daten]  |c [Sergey Degtyarev] 
520 3 |a We consider a problem with the unknown interface of the domains of ellipticity and parabolicity of a quasilinear elliptic-parabolic equation. Such problem models the filtration in a partially saturated porous medium. Locally in the time, we prove the existence of a smooth solution of the problem, including the smoothness of the unknown boundary. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a elliptic-parabolic equation  |2 nationallicence 
690 7 |a free boundary  |2 nationallicence 
690 7 |a classical solution  |2 nationallicence 
690 7 |a a priori estimate  |2 nationallicence 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/1(2015-05-01), 1-25  |x 1072-3374  |q 207:1<1  |1 2015  |2 207  |o 10958 
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908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2351-3  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Degtyarev  |D Sergey  |u Institute of Applied Mathematics and Mechanics of NASU, 74, R. Luxemburg Str., 83114, Donetsk, 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), 1-25  |x 1072-3374  |q 207:1<1  |1 2015  |2 207  |o 10958 
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