existence and continuity of solutions to a class of pseudodifferential equations over p-adic field
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existence and continuity of solutions to a class of pseudodifferential equations over p-adic field

;Bo Wu
journal of power sources 2013 Vol. 2013 pp. -
262
wu2013mathematicalexistence

Abstract

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).

Keywords

civil engineering (general)mathematics engineering (general)

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DOI:
10.1155/2013/481672
URL:
http://dx.doi.org/10.1155/2013/481672

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ID: 129431
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