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  • 标题:<svg style="vertical-align:-4.626pt;width:13.4125px;" id="M1" height="17.5" version="1.1" viewBox="0 0 13.4125 17.5" width="13.4125" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.022,-0,0,-.022,.062,11.675)"><path id="x1D45D" d="M570 304q0 -108 -87 -199q-40 -42 -94.5 -74t-105.5 -43q-41 0 -65 11l-29 -141q-9 -45 -1.5 -58t45.5 -16l26 -2l-5 -29l-241 -10l4 26q51 10 67.5 24t26.5 60l113 520q-54 -20 -89 -41l-7 26q38 28 105 53l11 49q20 25 77 58l8 -7l-17 -77q39 14 102 14q82 0 119 -36&#xA;t37 -108zM482 289q0 114 -113 114q-26 0 -66 -7l-70 -327q12 -14 32 -25t39 -11q59 0 118.5 81.5t59.5 174.5z" /></g> </svg>-Adic Fractional Pseudodifferential Equations and Sobolev Type Spaces over <svg style="vertical-align:-4.626pt;width:13.4125px;" id="M2" height="17.5" version="1.1" viewBox="0 0 13.4125 17.5" width="13.4125" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.022,-0,0,-.022,.062,11.675)"><use xlink:href="#x1D45D"/></g> </svg>-Adic Fields
  • 本地全文:下载
  • 作者:Bo Wu
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2013
  • 卷号:2013
  • DOI:10.1155/2013/635690
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we study the solutions of the pseudodifferential equations of type over -adic field , where is a -adic fractional pseudodifferential operator. If is a Bruhat-Schwartz function, then there exists a distribution , a fundamental solution, such that is a solution. We also show that the solution belongs to a certain Sobolev space. Furthermore, we give conditions for the continuity and uniqueness of .
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