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

On the Stability of Type I Blow Up for the Energy Super Critical Heat Equation
Author :
Publisher : American Mathematical Soc.
Total Pages : 110
Release :
ISBN-10 : 9781470436261
ISBN-13 : 1470436264
Rating : 4/5 (264 Downloads)

Book Synopsis On the Stability of Type I Blow Up for the Energy Super Critical Heat Equation by : Charles Collot

Download or read book On the Stability of Type I Blow Up for the Energy Super Critical Heat Equation written by Charles Collot and published by American Mathematical Soc.. This book was released on 2019-09-05 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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

On the Stability of Type I Blow Up for the Energy Super Critical Heat Equation
Language: en
Pages: 110
Authors: Charles Collot
Categories: Mathematics
Type: BOOK - Published: 2019-09-05 - Publisher: American Mathematical Soc.

GET EBOOK

The authors consider the energy super critical semilinear heat equation The authors first revisit the construction of radially symmetric self similar solutions
Type II Blow Up Manifolds for the Energy Supercritical Semilinear Wave Equation
Language: en
Pages: 176
Authors: Charles Collot
Categories: Mathematics
Type: BOOK - Published: 2018-03-19 - Publisher: American Mathematical Soc.

GET EBOOK

Our analysis adapts the robust energy method developed for the study of energy critical bubbles by Merle-Rapha¨el-Rodnianski, Rapha¨el-Rodnianski and Rapha¨e
Global Well-Posedness of High Dimensional Maxwell–Dirac for Small Critical Data
Language: en
Pages: 106
Authors: Cristian Gavrus
Categories: Education
Type: BOOK - Published: 2020-05-13 - Publisher: American Mathematical Soc.

GET EBOOK

In this paper, the authors prove global well-posedness of the massless Maxwell–Dirac equation in the Coulomb gauge on R1+d(d≥4) for data with small scale-cr
Automorphisms of Fusion Systems of Finite Simple Groups of Lie Type
Language: en
Pages: 176
Authors: Carles Broto
Categories: Education
Type: BOOK - Published: 2020-02-13 - Publisher: American Mathematical Soc.

GET EBOOK

For a finite group G of Lie type and a prime p, the authors compare the automorphism groups of the fusion and linking systems of G at p with the automorphism gr
Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces
Language: en
Pages: 134
Authors: Luigi Ambrosio
Categories: Education
Type: BOOK - Published: 2020-02-13 - Publisher: American Mathematical Soc.

GET EBOOK

The aim of this paper is to provide new characterizations of the curvature dimension condition in the context of metric measure spaces (X,d,m). On the geometric