A new kind of the solution of degenerate parabolic equation with unbounded convection term

• Autorzy: Huashui Zhan
• Języki publikacji: EN

Abstrakty

EN

A new kind of entropy solution of Cauchy problem of the strong degenerate parabolic equation [...] is introduced. If u0 ∈ L∞(RN), E = {Ei} ∈ (L2(QT))N and divE ∈ L2(QT), by a modified regularization method and choosing the suitable test functions, the BV estimates are got, the existence of the entropy solution is obtained. At last, by Kruzkov bi-variables method, the stability of the solutions is obtained.

Słowa kluczowe

EN

Cauchy problem; Degenerate parabolic equation; Entropy solution; Unbounded convection term

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2014-03-20

zaakceptowano

2014-08-26

online

2015-05-05

Twórcy

autor

Huashui Zhan

• School of Applied Mathematics, Xiamen University of Technology, Xiamen 361024, Fujian
  Province, P.R. China

Bibliografia

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Identyfikatory

DOI

10.1515/math-2015-0029