Existence and Nonexistence of Global Solutions of the Quasilinear Parabolic Equations with Inhomogeneous Terms. (18th October 2010)

• Record Type: Journal Article
• Authors: Kobayashi, Yasumaro
• Other Names: Boucherif Abdelkader Academic Editor.
• Is Part Of: Advances in difference equations. Volume 2010(2010)
• Publication Date: 2010-10-18
• Subjects: Difference equations -- Periodicals; 515.625
• DOI: 10.1155/2010/451619
• Languages: English
• ISSNs: 1687-1847

Abstract

Abstract : We consider the quasilinear parabolic equation with inhomogeneous termu t = Δ u m + 〈 x 〉 σ u p + f ( x ), u ( x, 0 ) = u 0 ( x ), where0 ≤ f ( x ), u 0 ( x ) ∈ C ( ℝ N ), m > 0, p > max { 1, m }, andσ > − 2, 〈 x 〉 : = ( | x | 2 + 1 ) 1 / 2 . In this paper, we investigate the critical exponents of this equation.