L∞ bounds for Maxwell-gauged equations in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo linebreak="badbreak" linebreakstyle="after">+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> and their applications

Similar Works

Action	Title	Year	Authors
+	Growth of Sobolev norms for the Maxwell–Dirac and Dirac–Klein–Gordon systems in R 1 + 1	2021	Hyungjin Huh
+	Growth-in-time of higher Sobolev norms of solutions to the 1D Dirac–Klein–Gordon system	2019	Achenef Tesfahun
+ PDF Chat	Local Smoothing Estimates for Schrödinger Equations on Hyperbolic Space	2023	Andrew Lawrie Jonas Lührmann Sung‐Jin Oh Sohrab Shahshahani
+	Global well-posedness and parametrices for critical Maxwell-Dirac and massive Maxwell-Klein-Gordon equations with small Sobolev data	2017	Cristian Gavrus
+	The decay of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml1" display="inline" overflow="scroll" altimg="si1.gif"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math> Yang–Mills fields on the Schwarzschild black hole for spherically symmetric small energy initial data	2017	Sari Ghanem Dietrich Häfner
+ PDF Chat	LOCAL SMOOTHING ESTIMATES FOR THE MASSLESS DIRAC-COULOMB EQUATION IN 2 AND 3 DIMENSIONS	2016	Federico Cacciafesta Éric Séré
+ PDF Chat	LOCAL SMOOTHING ESTIMATES FOR THE MASSLESS DIRAC-COULOMB EQUATION IN 2 AND 3 DIMENSIONS	2016	Federico Cacciafesta Éric Séré
+	Local smoothing estimates for the massless Dirac–Coulomb equation in 2 and 3 dimensions	2016	Federico Cacciafesta Éric Séré
+	Low Regularity local well-posedness for the 1+3 dimensional Dirac-Klein-Gordon system	2007	Achenef Tesfahun
+	Low regularity and local well-posedness for the 1+3 dimensional Dirac-Klein-Gordon system	2007	Achenef Tesfahun
+	LOCAL SMOOTHING ESTIMATES FOR THE MASSLESS DIRAC-COULOMB EQUATION	2015	Federico Cacciafesta Éric Séré
+	Low regularity well-posedness for the 2D Maxwell-Klein-Gordon equation in the Coulomb gauge	2013	Magdalena Czubak Нина Павловна Пикула
+	Low regularity well-posedness for the 2D Maxwell-Klein-Gordon equation in the Coulomb gauge	2014	Magdalena Czubak Н. П. Пикула
+	Global well-posedness below the charge norm for the Dirac-Klein-Gordon system in one space dimension	2006	Sigmund Selberg
+ PDF Chat	Local well-posedness for the Maxwell-Dirac system in temporal gauge	2022	Hartmut Pecher
+ PDF Chat	Global Well-posedness Below the Charge Norm for the Dirac-Klein-Gordon System in One Space Dimension	2007	Sigmund Selberg
+	Problèmes d'existence en temps grand pour des équations de Kein-Gordon non-linéaires	2006	Alin Laurentiu Benoaga
+	Improved existence results of solutions to the gravitational Maxwell gauged 𝑂(3) sigma model	2015	Kyungwoo Song
+ PDF Chat	Global Regularity for the Maxwell-Klein-Gordon Equation with Small Critical Sobolev Norm in High Dimensions	2004	Igor Rodnianski Terence Tao
+ PDF Chat	Strichartz estimates for the Schrödinger equation with a measure-valued potential	2021	M. Burak Erdoğan Michael Goldberg William H. Green

Works That Cite This (5)

Action	Title	Year	Authors
+	Asymptotic decay for the Chern-Simons-Higgs equations	2024	Dongyi Wei Shiwu Yang
+	<i>L</i> <i> <b>∞</b> </i> bounds for Chern–Simons gauged equations in R1+1 and their applications	2021	Hyungjin Huh Jihyun Yim
+ PDF Chat	General Couplings Conditions of Four-Dimensional Maxwell-Klein-Gordon System	2022	Mulyanto Mulyanto Fiki T. Akbar Bobby Eka Gunara
+	Remarks on the growth of the Sobolev norms for the Maxwell-Chern-Simons gauged model in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo linebreak="badbreak" linebreakstyle="after">+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>	2021	Guanghui Jin Bora Moon
+ PDF Chat	Maxwell Klein-Gordon System with General Gauge Coupling on 4-Dimensional Flat Spacetime	2021	Mulyanto Mulyanto Fiki T. Akbar Bobby Eka Gunara

Works Cited by This (17)

Action	Title	Year	Authors
+	On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations	1997	Gigliola Staffilani
+ PDF Chat	Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation	2015	Marcel Guàrdia V. A. Kaloshin
+	Global existence of Maxwell–Klein–Gordon fields in (2+1)-dimensional space-time	1980	Vincent Moncrief
+	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
+	Existence of solutions to the self-dual equations in the Maxwell gauged <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> sigma model	2011	Jongmin Han Hyungjin Huh
+	Cauchy problems of the gauged sigma model	2005	Hyungjin Huh
+	Nonlinear Schrödinger evolution equations	1980	Haı̈m Brezis Thierry Gallouët
+	On the Maxwell-Klein-Gordon equation with finite energy	1994	Sergiù Klainerman Matei Machedon
+ PDF Chat	A remark on normal forms and the “upside-down” I-method for periodic NLS: Growth of higher Sobolev norms	2012	J. Colliander Soonsik Kwon Tadahiro Oh
+	On time dependent Schrödinger equations: Global well-posedness and growth of Sobolev norms	2017	Alberto Maspero D. Robert