Global Existence and Blow-Up of Solutions for Nonlinear Klein-Gordon Equation with Damping Term and Nonnegative Potentials

Joint Authors

Huang, Wen-Yi
Chen, Wen-Li

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-10-14

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

This paper is concerned with the nonlinear Klein-Gordon equation with damping term and nonnegative potentials.

We introduce a family of potential wells and discuss the invariant sets and vacuum isolating behavior of solutions.

Using the potential well argument, we obtain a new existence theorem of global solutions and a blow-up result for solutions in finite time.

American Psychological Association (APA)

Huang, Wen-Yi& Chen, Wen-Li. 2014. Global Existence and Blow-Up of Solutions for Nonlinear Klein-Gordon Equation with Damping Term and Nonnegative Potentials. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1013341

Modern Language Association (MLA)

Huang, Wen-Yi& Chen, Wen-Li. Global Existence and Blow-Up of Solutions for Nonlinear Klein-Gordon Equation with Damping Term and Nonnegative Potentials. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1013341

American Medical Association (AMA)

Huang, Wen-Yi& Chen, Wen-Li. Global Existence and Blow-Up of Solutions for Nonlinear Klein-Gordon Equation with Damping Term and Nonnegative Potentials. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1013341

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1013341