𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Nonlinear degenerate parabolic equations for Baouendi–Grushin operators

✍ Scribed by Ismail Kombe

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
213 KB
Volume
279
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In this paper, we shall investigate the nonexistence of positive solutions for the following nonlinear parabolic partial differential equations:

equation image

and

equation image

Here, Ω is a Carnot–Carathéodory metric ball in R^N^ and V ∈ L ^1^~loc~(Ω). The critical exponents m * and p * are found, and the nonexistence results are proved for m * ≤ m < 1 and p * ≤ p < 2. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

Convergence for Degenerate Parabolic Equ
Convergence for Degenerate Parabolic Equations
✍ Eduard Feireisl; Frédérique Simondon 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 180 KB

We prove that any bounded global solution to a degenerate parabolic problem in one spatial dimension converges to a unique stationary state.

A Class of Degenerate Totally Nonlinear
A Class of Degenerate Totally Nonlinear Parabolic Equations
✍ Chin-Yuan Lin; Li-Chang Fan 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 181 KB

Of concern is the following totally nonlinear parabolic equation, as well as its higher space dimensional analogue

Nonlinear degenerate parabolic equations
Nonlinear degenerate parabolic equations with time dependent singular coefficients
✍ S. Ahmetolan; S. Cavdar 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 169 KB

It is well-known that this inequality has a key role in the analysis of partial differential equations with singular coefficients. Moreover the nonexistence of positive solutions has strong connections with Hardy' s inequality.

Localization for a doubly degenerate par
Localization for a doubly degenerate parabolic equation with strongly nonlinear sources
✍ Zhaoyin Xiang 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 215 KB

In this paper, we study the strict localization for the doubly degenerate parabolic equation with strongly nonlinear sources, We prove that, for non-negative compactly supported initial data, the strict localization occurs if and only if q m(p-1).