On the Cauchy Problem

Released on by Sigeru Mizohata
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  • On the Cauchy Problem Book Detail

  • Author : Sigeru Mizohata
  • Release Date : 2014-05-10
  • Publisher : Academic Press
  • Genre : Mathematics
  • Pages : 186
  • ISBN 13 : 148326906X
  • File Size : 1,1 MB
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On the Cauchy Problem by Sigeru Mizohata PDF Summary

Book Description: Notes and Reports in Mathematics in Science and Engineering, Volume 3: On the Cauchy Problem focuses on the processes, methodologies, and mathematical approaches to Cauchy problems. The publication first elaborates on evolution equations, Lax-Mizohata theorem, and Cauchy problems in Gevrey class. Discussions focus on fundamental proposition, proof of theorem 4, Gevrey property in t of solutions, basic facts on pseudo-differential, and proof of theorem 3. The book then takes a look at micro-local analysis in Gevrey class, including proof and consequences of theorem 1. The manuscript examines Schrödinger type equations, as well as general view-points on evolution equations. Numerical representations and analyses are provided in the explanation of these type of equations. The book is a valuable reference for mathematicians and researchers interested in the Cauchy problem.

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