Existence and Continuity of Solutions to a Class of Pseudodifferential Equations over p-Adic Field

Author

Wu, Bo

Source

Mathematical Problems in Engineering

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-06-02

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Civil Engineering

Abstract EN

We study the pseudodifferential operator Tα and the pseudodifferential equations of type Tαu+u=δxk over p-adic field ℚp, where δxk is the Dirac delta function.

We discuss the existence and uniqueness of solutions to the equations.

Furthermore, we give conditions for the continuity of the solutions uk when u belongs to the space L2(ℚp).

American Psychological Association (APA)

Wu, Bo. 2013. Existence and Continuity of Solutions to a Class of Pseudodifferential Equations over p-Adic Field. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1009525

Modern Language Association (MLA)

Wu, Bo. Existence and Continuity of Solutions to a Class of Pseudodifferential Equations over p-Adic Field. Mathematical Problems in Engineering No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-1009525

American Medical Association (AMA)

Wu, Bo. Existence and Continuity of Solutions to a Class of Pseudodifferential Equations over p-Adic Field. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1009525

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1009525