Brian Pigott

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All published works

Action	Title	Year	Authors
+ PDF Chat	Hopf-like bifurcation in a wave equation at a removable singularity	2023	Nemanja Kosovalić Brian Pigott
+	Hopf-Like Bifurcation in a Wave Equation at a Removable Singularity	2023	Nemanja Kosovalić Brian Pigott
+	Symmetric vibrations of higher dimensional nonlinear wave equations	2022	Nemanja Kosovalić Brian Pigott
+	Self-Excited Vibrations for Damped and Delayed 1-Dimensional Wave Equations	2018	Nemanja Kosovalić Brian Pigott
+ PDF Chat	Nonlinear profile decomposition and the concentration phenomenon for supercritical generalized KDV equations	2018	Luiz Gustavo Farah Brian Pigott
+ PDF Chat	Long-term stability for KdV solitons in weighted $H^s$ spaces	2017	Sarah Raynor Brian Pigott
+	On mass concentration for the critical generalized Korteweg–de Vries equation	2015	Brian Pigott
+	Asymptotic Stability for KdV Solitons in Weighted Spaces via Iteration	2014	Brian Pigott Sarah Raynor
+	Asymptotic Stability for KdV Solitons in Weighted $H^s$ Spaces	2014	Brian Pigott Sarah Raynor
+ PDF Chat	Asymptotic stability for KdV solitons in weighted spaces via iteration	2014	Brian Pigott Sarah Raynor
+	Asymptotic Stability for KdV Solitons in Weighted Spaces via Iteration	2014	Brian Pigott Sarah Raynor
+	Asymptotic Stability for KdV Solitons in Weighted $H^s$ Spaces	2014	Brian Pigott Sarah Raynor
+	Polynomial-in-time upper bounds for the orbital instability of subcritical generalized Korteweg-de Vries equations	2013	Brian Pigott
+	Low Regularity Stability for Subcritical Generalized Korteweg-de Vries Equations	2012	Brian Pigott

Common Coauthors

Coauthor	Papers Together
Sarah Raynor	6
Nemanja Kosovalić	4
Luiz Gustavo Farah	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Lyapunov stability of ground states of nonlinear dispersive evolution equations	1986	Michael I. Weinstein	6
+	Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	6
+	On the stability theory of solitary waves	1975	Jerry L. Bona	6
+ PDF Chat	The stability of solitary waves	1972	T. Brooke Benjamin	6
+	Asymptotic stability of solitons of the subcritical gKdV equations revisited	2004	Yvan Martel Frank Merle	6
+ PDF Chat	Well-posedness of the Cauchy problem for the Korteweg-de Vries equation at the critical regularity	2009	Nobu Kishimoto	6
+ PDF Chat	Low regularity stability of solitons for the KDV equation	2003	Sarah Raynor Gigliola Staffilani	6
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain	5
+	Asymptotic Stability of Solitons¶for Subcritical Generalized KdV Equations	2001	Yvan Martel Frank Merle	5
+	Blow up in finite time and dynamics of blow up solutions for the 𝐿²–critical generalized KdV equation	2002	Yvan Martel Frank Merle	4
+	Global rough solutions to the critical generalized KdV equation	2010	Luiz Gustavo Farah	4
+	Polynomial upper bounds for the instability of the nonlinear Schrödinger equation below the energy norm	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	4
+ PDF Chat	Global well-posedness and inviscid limit for the Korteweg–de Vries–Burgers equation	2009	Zihua Guo Baoxiang Wang	4
+	Polynomial-in-time upper bounds for the orbital instability of subcritical generalized Korteweg-de Vries equations	2013	Brian Pigott	4
+	Introduction to Nonlinear Dispersive Equations	2009	Felipe Linares Gustavo Ponce	4
+ PDF Chat	A bilinear estimate with applications to the KdV equation	1996	Carlos E. Kenig Gustavo Ponce Luis Vega	4
+	Stability and instability of solitary waves of Korteweg-de Vries type	1987	Jerry L. Bona Panagiotis E. Souganidis Walter A. Strauss	4
+ PDF Chat	Asymptotic stability of solitary waves	1994	Robert L. Pego Michael I. Weinstein	4
+	Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle	1993	Carlos E. Kenig Gustavo Ponce Luis Vega	4
+ PDF Chat	Asymptotic stability of solitons of the gKdV equations with general nonlinearity	2007	Yvan Martel Frank Merle	3
+ PDF Chat	Blow up for the critical gKdV equation. II: Minimal mass dynamics	2015	Yvan Martel Frank Merle Pierre Raphaël	3
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain	3
+ PDF Chat	Blow up for the critical gKdV equation III: exotic regimes	2015	Yvan Martel Frank Merle Pierre Raphaël	3
+	Bifurcation Theory: An Introduction with Applications to PDEs	2003	Hansjörg Kielhöfer	3
+ PDF Chat	Blow up for the critical generalized Korteweg–de Vries equation. I: Dynamics near the soliton	2014	Yvan Martel Frank Merle Pierre Raphaël	3
+	Nonlinear Schr�dinger equations and sharp interpolation estimates	1983	Michael I. Weinstein	3
+	Existence of blow-up solutions in the energy space for the critical generalized KdV equation	2001	Frank Merle	3
+	Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	3
+	Global well-posedness for KdV in Sobolev Spaces of negative index	2001	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence C. Tao	3
+ PDF Chat	The low regularity global solutions for the critical generalized KdV equation	2010	Changxing Miao Shuanglin Shao Yifei Wu Guixiang Xu	3
+ PDF Chat	Multilinear estimates for periodic KdV equations, and applications	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	3
+	Stability theory of solitary waves in the presence of symmetry, II	1990	Manoussos G. Grillakis Jalal Shatah Walter A. Strauss	2
+	$L^2$-stability of solitary waves for the KdV equation via Pego and Weinstein's method	2014	Tetsu Mizumachi Nikolay Tzvetkov	2
+	Self-Excited Vibrations for Damped and Delayed 1-Dimensional Wave Equations	2018	Nemanja Kosovalić Brian Pigott	2
+	Lyapunov center theorem for some nonlinear PDE's : a simple proof	2000	Dario Bambusi	2
+	Scattering for the quartic generalised Korteweg–de Vries equation	2006	Terence Tao	2
+ PDF Chat	The supercritical generalized KdV equation: Global well-posedness in the energy space and below	2011	Luiz Gustavo Farah Felipe Linares Ademir Pastor	2
+	A remark on global well-posedness below L^2 for the gKdV-3 equation	2007	Axel Gruenrock Mahendra Panthee Jorge Drumond Silva	2
+ PDF Chat	Construction of periodic solutions of nonlinear wave equations in higher dimension	1995	Jean Bourgain	2
+	Rough blowup solutions to the L 2 critical NLS	2009	J. Colliander Pierre Raphaël	2
+ PDF Chat	Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations	2001	Terence Tao	2
+	The Cauchy problem for dissipative Korteweg de Vries equations in Sobolev spaces of negative order	2001	Luc Molinet Francis Ribaud	2
+ PDF Chat	Global well-posedness of Korteweg–de Vries equation in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>H</mml:mi><mml:mrow><mml:mo>−</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">/</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>	2009	Zihua Guo	2
+	The supercritical generalized KdV equation: Global well-posedness in the energy space and below	2010	Luiz Gustavo Farah Felipe Linares Ademir Pastor	2
+ PDF Chat	A bilinear Airy-estimate with application to gKdV-3	2005	Axel Grünrock	2
+	Sobolev Periodic Solutions of Nonlinear Wave Equations in Higher Spatial Dimensions	2009	Massimiliano Berti Philippe Bolle	2
+	Instability of solitons for the critical generalized Korteweg—de Vries equation	2001	Yvan Martel Franck Merle	2
+ PDF Chat	Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations	2003	Michael Christ J. Colliander T. Tao	2
+	Asymptotic Stability for KdV Solitons in Weighted Spaces via Iteration	2014	Brian Pigott Sarah Raynor	2
+	On well-posedness and wave operator for the gKdV equation	2012	Luiz Gustavo Farah Ademir Pastor	1