Finite time blow-up for the inhomogeneous equation ut = Δu + a(x)up + λφ in Rd

Proceedings of the American Mathematical Society

Volumn 127, Issue 11, 1999, Pages 3319-3327

  Pinsky, Ross G ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Critical exponent; Finite time blow up; Semilinear reaction diffusion equations

Indexed keywords

EID: 0008899189     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-99-05164-3     Document Type: Article

References (6)

1. Gilbarg, D. and Trudinger, N. S., Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin/New York, 1983. MR 86c:35035
2. Lee T.Y., Some limit theorems for super-Brownian motion and semilinear differential equations, Annals of Probab. 21 (1993), 979-995. MR 94b:60038
3. Levine H., The role of critical exponents in blowup theorems, SIAM Rev 32 (1990), 262-288. MR 91j:35135
4. Pazy A., Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, Berlin/New York, 1983. MR 85g:47061
5. d, J.Diff Equas. 133 (1997), 152-177. MR 97k:35118
6. Zhang Q. S., A new critical phenomenon for semilinear parabolic problems, Jour. Math. Anal, and App. 219 (1998), 125-139. MR 98m:35095