✦ LIBER ✦

On the global solutions to a class of strongly degenerate parabolic equations

✍ Scribed by Marius Ghergu

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 672 KB
Volume: 70
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2008.02.024

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Uniqueness of the bounded solution to a

Uniqueness of the bounded solution to a strongly degenerate parabolic problem

✍ Qiang Liu; Chunpeng Wang 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 242 KB

This paper concerns the uniqueness of the bounded solution to a strongly degenerate parabolic problem. The equation considered may have two kinds of strong degeneracies and there is no restriction on the relation between the two degeneracies. By using Holmgren's approach, we prove that the bounded s

Periodic solutions for a class of degene

Periodic solutions for a class of degenerate parabolic equations with Neumann boundary conditions

✍ Yifu Wang; Jingxue Yin 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 228 KB

The conditions for there to be no global

The conditions for there to be no global solutions of a class of quasilinear parabolic equations

✍ V.A. Galaktionov 📂 Article 📅 1982 🏛 Elsevier Science ⚖ 1022 KB

Continuous Dependence on the Nonlinearit

Continuous Dependence on the Nonlinearities of Solutions of Degenerate Parabolic Equations

✍ B Cockburn; G Gripenberg 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 176 KB

Explicit estimates for the continuous dependence in L ([0, T]; L 1 (R d )) of solutions of the equation l v={ } (8(v))+2(.(v)) (in (0, )\_R d with initial condition v(0, } )=h) with respect to the nonlinear continuously differential functions 8 and . are established.

On the global existence of solutions to

On the global existence of solutions to a class of fractional differential equations

✍ Dumitru Băleanu; Octavian G. Mustafa 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 434 KB

## a b s t r a c t We present two global existence results for an initial value problem associated to a large class of fractional differential equations. Our approach differs substantially from the techniques employed in the recent literature. By introducing an easily verifiable hypothesis, we allo

On the Boundedness of Global Solutions o

On the Boundedness of Global Solutions of Abstract Semilinear Parabolic Equations

✍ Marek Fila; Howard A. Levine 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 213 KB

In this paper we consider the question of the long time behavior of solutions of Ž . the initial value problem for evolution equations of the form durdt q Au t s Ž Ž .. F u t in a Banach space where A is the infinitesimal generator of an analytic semigroup and F is a nonlinear function such that the