On the Stability of Type I Blow Up for the Energy Super Critical Heat Equation

Released on by Charles Collot
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  • On the Stability of Type I Blow Up for the Energy Super Critical Heat Equation Book Detail

  • Author : Charles Collot
  • Release Date : 2019-09-05
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 110
  • ISBN 13 : 1470436264
  • File Size : 2,2 MB
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On the Stability of Type I Blow Up for the Energy Super Critical Heat Equation by Charles Collot PDF Summary

Book Description: The authors consider the energy super critical semilinear heat equation The authors first revisit the construction of radially symmetric self similar solutions performed through an ode approach and propose a bifurcation type argument which allows for a sharp control of the spectrum of the corresponding linearized operator in suitable weighted spaces. They then show how the sole knowledge of this spectral gap in weighted spaces implies the finite codimensional nonradial stability of these solutions for smooth well localized initial data using energy bounds. The whole scheme draws a route map for the derivation of the existence and stability of self-similar blow up in nonradial energy super critical settings.

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Subgroup Decomposition in Out(Fn)

Subgroup Decomposition in Out(Fn)

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In this work the authors develop a decomposition theory for subgroups of Out(Fn) which generalizes the decomposition theory for individual elements of Out(Fn) f