Blow-Up in a Slow Diffusive p-Laplace Equation with the Neumann Boundary Conditions

Joint Authors

Liang, Bo
Qu, Chengyuan

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-06-18

Country of Publication

Egypt

No. of Pages

5

Main Subjects

Mathematics

Abstract EN

We study a slow diffusive p-Laplace equation in a bounded domain with the Neumann boundary conditions.

A natural energy is associated to the equation.

It is shown that the solution blows up in finite time with the nonpositive initial energy, based on an energy technique.

Furthermore, under some assumptions of initial data, we prove that the solutions with bounded initial energy also blow up.

American Psychological Association (APA)

Qu, Chengyuan& Liang, Bo. 2013. Blow-Up in a Slow Diffusive p-Laplace Equation with the Neumann Boundary Conditions. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-487716

Modern Language Association (MLA)

Qu, Chengyuan& Liang, Bo. Blow-Up in a Slow Diffusive p-Laplace Equation with the Neumann Boundary Conditions. Abstract and Applied Analysis No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-487716

American Medical Association (AMA)

Qu, Chengyuan& Liang, Bo. Blow-Up in a Slow Diffusive p-Laplace Equation with the Neumann Boundary Conditions. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-487716

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-487716