Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations - Mathematical Surveys and Monographs
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Published By American Mathematical Society

9781470428570, 9781470435646

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Extension of the results to a class of non-covariant wave equations

Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations - Mathematical Surveys and Monographs ◽

10.1090/surv/214/24 ◽

2016 ◽

pp. 479-488

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Small data, sup-norm bootstrap assumptions, and first pointwise estimates

Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations - Mathematical Surveys and Monographs ◽

10.1090/surv/214/12 ◽

2016 ◽

pp. 181-243

Keyword(s):

Pointwise Estimates

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Avoiding derivative loss and other difficulties via modified quantities

Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations - Mathematical Surveys and Monographs ◽

10.1090/surv/214/11 ◽

2016 ◽

pp. 167-180

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Initial data, basic geometric constructions, and the future null condition failure factor

Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations - Mathematical Surveys and Monographs ◽

10.1090/surv/214/03 ◽

2016 ◽

pp. 81-105

Keyword(s):

Initial Data ◽

Null Condition ◽

Geometric Constructions ◽

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Summary of notation and conventions

Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations - Mathematical Surveys and Monographs ◽

10.1090/surv/214/25 ◽

2016 ◽

pp. 489-501

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Local well-posedness and continuation criteria

Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations - Mathematical Surveys and Monographs ◽

10.1090/surv/214/21 ◽

2016 ◽

pp. 447-451

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Elliptic estimates and Sobolev embedding on the spheres

Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations - Mathematical Surveys and Monographs ◽

10.1090/surv/214/18 ◽

2016 ◽

pp. 353-359

Keyword(s):

Sobolev Embedding ◽

Elliptic Estimates

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Pointwise estimates for the difficult error integrands corresponding to the commuted wave equation

Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations - Mathematical Surveys and Monographs ◽

10.1090/surv/214/17 ◽

2016 ◽

pp. 327-352

Keyword(s):

Wave Equation ◽

Pointwise Estimates

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The structure of the wave equation inhomogeneous terms after one commutation

Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations - Mathematical Surveys and Monographs ◽

10.1090/surv/214/09 ◽

2016 ◽

pp. 143-149

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Transport equations for the Eikonal function quantities

Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations - Mathematical Surveys and Monographs ◽

10.1090/surv/214/04 ◽

2016 ◽

pp. 107-115

Keyword(s):

Transport Equations ◽

Eikonal Function

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