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On Stability of Type II Blow Up for the Critical Nonlinear Wave Equation (Memoirs of the American Mathematical Society) - Softcover
Synopsis
The author shows that the finite time type II blow up solutions for the energy critical nonlinear wave equation $ Box u = -u^5 $ on $mathbb R^3+1$ constructed in Krieger, Schlag, and Tataru (2009) and Krieger and Schlag (2014) are stable along a co-dimension three manifold of radial data perturbations in a suitable topology, provided the scaling parameter $lambda (t) = t^-1- u $ is sufficiently close to the self-similar rate, i. e. $ u >0$ is sufficiently small. Our method is based on Fourier techniques adapted to time dependent wave operators of the form $ -partial _t^2 + partial _r^2 + rac 2rpartial _r +V(lambda (t)r) $ for suitable monotone scaling parameters $lambda (t)$ and potentials $V(r)$ with a resonance at zero.
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On Stability of Type II Blow Up for the Critical Nonlinear Wave Equation in R3+1
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American Mathematical Society, Providence, Rhode Island, 2020
ISBN 10: 147044299X
ISBN 13: 9781470442996
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On stability of type II blow up for the critical nonlinear wave equation in R3+1. Memoirs of the American Mathematical Society; volume 267, number 1301 (fifth of 7 numbers).
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Providence, AMS, American Mathematical Society, 2020
ISBN 10: 147044299X
ISBN 13: 9781470442996
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On Stability of Type II Blow Up for the Critical Nonlinear Wave Equation (Memoirs of the American Mathematical Society)
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On Stability of Type II Blow Up for the Critical Nonlinear Wave Equation
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ISBN 10: 147044299X
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On Stability of Type II Blow Up for the Critical Nonlinear Wave Equation
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American Mathematical Society, 2021
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ISBN 13: 9781470442996
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On Stability of Type II Blow Up for the Critical Nonlinear Wave Equation in $\mathbb {R}^{3+1}$
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On Stability of Type II Blow Up for the Critical Nonlinear Wave Equation
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Amer Mathematical Society, 2021
ISBN 10: 147044299X
ISBN 13: 9781470442996
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On Stability of Type II Blow Up for the Critical Nonlinear Wave Equation
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American Mathematical Society, 2021
ISBN 10: 147044299X
ISBN 13: 9781470442996
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On Stability of Type II Blow Up for the Critical Nonlinear Wave Equation
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Amer Mathematical Society, 2021
ISBN 10: 147044299X
ISBN 13: 9781470442996
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On Stability of Type II Blow Up for the Critical Nonlinear Wave Equation in $mathbb {R}^{3+1}$
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Amer Mathematical Society, 2020
ISBN 10: 147044299X
ISBN 13: 9781470442996
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