p. 125 - 146 Blowup for a time-oscillating nonlinear heat equation Th. Cazenave, M. Escobedo and E. Zuazua Received: June 19, 2012; Revised: August 31, 2010; Accepted: August 31, 2012 Abstract. In this paper, we study a nonlinear heat equation with a periodic time-oscillating term in factor of the nonlinearity. In particular, we give examples showing how the behavior of the solution can drastically change according to both the frequency of the oscillating factor and the size of the initial value. Keywords: Semilinear heat equation; time-oscillating nonlinearity; finite-time blowup AMS Subject classification: Primary: 35K91 Secondary: 35B44, 35B40 PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2013, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |