Solution blow-up for a class of parabolic equations with double nonlinearity

Journal Article · Sun Mar 31 00:00:00 EDT 2013 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM2013V204N03ABEH004303· OSTI ID:22167848

Korpusov, Maxim O ^[1]

---

1. Lomonosov Moscow State University, Faculty of Physics, Moscow (Russian Federation)

We consider a class of parabolic-type equations with double nonlinearity and derive sufficient conditions for finite time blow-up of its solutions in a bounded domain under the homogeneous Dirichlet condition. To prove the solution blow-up we use a modification of Levine's method. Bibliography: 13 titles.

• OSTI ID: 22167848
• Journal Information: Sbornik. Mathematics, Vol. 204, Issue 3; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
DIRICHLET PROBLEM
EQUATIONS
MATHEMATICAL SOLUTIONS
MODIFICATIONS
NONLINEAR PROBLEMS