Blow up in solutions of a linear wave equation with mixed nonlinear boundary conditions

Author

al-Masudi, Salim A.

Source

The Arabian Journal for Science and Engineering. Section A, Science

Issue

Vol. 25, Issue 1A (31 Jan. 2000), pp.39-44, 6 p.

Publisher

King Fahd University of Petroleum and Minerals

Publication Date

2000-01-31

Country of Publication

Saudi Arabia

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

-We consider a one-dimensional linear wave equation associated with mixed nonlinear boundary conditions.

We prove a local existence result and we then show that the nonlinearity at the boundary causes a finite time blow up of the solution, even for small and smooth initial data.

American Psychological Association (APA)

al-Masudi, Salim A.. 2000. Blow up in solutions of a linear wave equation with mixed nonlinear boundary conditions. The Arabian Journal for Science and Engineering. Section A, Science،Vol. 25, no. 1A, pp.39-44.
https://search.emarefa.net/detail/BIM-389427

Modern Language Association (MLA)

al-Masudi, Salim A.. Blow up in solutions of a linear wave equation with mixed nonlinear boundary conditions. The Arabian Journal for Science and Engineering. Section A, Science Vol. 25, no. 1A (Jan. 2000), pp.39-44.
https://search.emarefa.net/detail/BIM-389427

American Medical Association (AMA)

al-Masudi, Salim A.. Blow up in solutions of a linear wave equation with mixed nonlinear boundary conditions. The Arabian Journal for Science and Engineering. Section A, Science. 2000. Vol. 25, no. 1A, pp.39-44.
https://search.emarefa.net/detail/BIM-389427

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 44

Record ID

BIM-389427