Dongbing Zha

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All published works

Action	Title	Year	Authors
+ PDF Chat	Global existence for initial-boundary value problems of one-dimension quasilinear wave equations with null conditions	2024	Dongbing Zha
+	Global existence of nonlinear elastic waves: Non-hyperelastic case	2024	Dongbing Zha
+ PDF Chat	Scattering and rigidity for nonlinear elastic waves	2024	Dongbing Zha
+	Global existence, scattering, rigidity and inverse scattering for some quasilinear hyperbolic systems	2023	Dongbing Zha Xinxin Xue Minghui Sun
+	On Initial-Boundary Value Problems for Some One Dimensional Quasilinear Wave Equations: Global Existence, Scattering and Rigidity	2023	Dongbing Zha Xinxin Xue
+ PDF Chat	Global existence for a system of multiple-speed wave equations violating the null condition	2022	Kunio Hidano Kazuyoshi Yokoyama Dongbing Zha
+	Long time existence for two-dimension elastic waves	2022	Weimin Peng Dongbing Zha
+ PDF Chat	Global wellposedness for 2D quasilinear wave without Lorentz	2022	Xinyu Cheng Dong Li Jiao Xu Dongbing Zha
+	Scattering and Rigidity for Nonlinear Elastic Waves	2022	Dongbing Zha
+	Asymptotic behavior of global solutions to some multidimensional quasilinear hyperbolic systems	2022	Dongbing Zha Minghui Sun
+	Lifespan of Classical Solutions to Semilinear Neumann-Wave Equations	2021	Dongbing Zha Fanshun Wang
+	Global stability of solutions to two-dimension and one-dimension systems of semilinear wave equations	2021	Dongbing Zha
+	Global nonlinear stability of one kind of large solutions to evolutionary Faddeev model	2021	Dongbing Zha Jianli Liu Yi Zhou
+	Global wellposedness for 2D quasilinear wave without Lorentz	2021	Xinyu Cheng Dong Li Jiao Xu Dongbing Zha
+	On initial-boundary value problems for one-dimension semilinear wave equations with null conditions	2020	Dongbing Zha Fanshun Wang
+	Global existence and asymptotic behavior for some multidimensional quasilinear hyperbolic systems	2020	Dongbing Zha Weimin Peng Yuming Qin
+	Global solutions to systems of quasilinear wave equations with low regularity data and applications	2020	Dongbing Zha Kunio Hidano
+ PDF Chat	On one-dimension quasilinear wave equations with null conditions	2020	Dongbing Zha
+	Remarks on nonlinear elastic waves with null conditions	2020	Dongbing Zha Weimin Peng
+	On nonlinear elastic waves in 2-D	2019	Dongbing Zha
+	Remarks on energy approach for global existence of some one-dimension quasilinear hyperbolic systems	2019	Dongbing Zha
+	Global Nonlinear Stability of Geodesic Solutions of Evolutionary Faddeev Model	2019	Jianli Liu Dongbing Zha Yi Zhou
+	Global existence for a system of multiple-speed wave equations violating the null condition	2019	Kunio Hidano Kazuyoshi Yokoyama Dongbing Zha
+ PDF Chat	Remarks on a system of quasi-linear wave equations in 3D satisfying the weak null condition	2019	Kunio Hidano Dongbing Zha
+ PDF Chat	Space-time <i>L</i> <sup>2</sup> estimates, regularity and almost global existence for elastic waves	2018	Kunio Hidano Dongbing Zha
+	Global and almost global existence for general quasilinear wave equations in two space dimensions	2018	Dongbing Zha
+	Space–time L2 estimates for elastic waves and applications	2017	Dongbing Zha
+	Space-time $L^2$ estimates, regularity and almost global existence for elastic waves	2017	Kunio Hidano Dongbing Zha
+	Global low regularity solutions for nonlinear elastic waves	2017	Kunio Hidano Dongbing Zha
+	Some remarks on quasilinear wave equations with null condition in 3‐D	2016	Dongbing Zha
+	A note on quasilinear wave equations in two space dimensions II: Almost global existence of classical solutions	2016	Weimin Peng Dongbing Zha
+ PDF Chat	Remarks on nonlinear elastic waves in the radial symmetry in 2-D	2016	Dongbing Zha
+ PDF Chat	A note on quasilinear wave equations in two space dimensions	2015	Dongbing Zha
+	Remarks on Nonlinear Elastic Waves in the Radial Symmetry in 2-D	2015	Dongbing Zha
+ PDF Chat	Lifespan of classical solutions to quasilinear wave equations outside of a star-shaped obstacle in four space dimensions	2014	Dongbing Zha Yi Zhou
+	The lifespan for quasilinear wave equations with multiple propagation speeds in four space dimensions	2013	Dongbing Zha Yi Zhou

Common Coauthors

Coauthor	Papers Together
Kunio Hidano	7
Yi Zhou	4
Weimin Peng	4
Xinxin Xue	2
Xinyu Cheng	2
Minghui Sun	2
Kazuyoshi Yokoyama	2
Jianli Liu	2
Fanshun Wang	2
Dong Li	1
Dong Li	1
Yuming Qin	1
Jiao Xu	1
Jiao Xu	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The null condition for quasilinear wave equations in two space dimensions I	2001	Serge Alinhac	26
+	Global solutions of nonlinear hyperbolic equations for small initial data	1986	Demetrios Christodoulou	25
+	On almost global existence for nonrelativistic wave equations in 3D	1996	Sergiù Klainerman Thomas C. Sideris	20
+ PDF Chat	Nonresonance and Global Existence of Prestressed Nonlinear Elastic Waves	2000	Thomas C. Sideris	18
+ PDF Chat	Global existence of nonlinear elastic waves	2000	Rentarô Agemi	15
+ PDF Chat	Global Existence for Systems of Nonlinear Wave Equations in 3D with Multiple Speeds	2001	Thomas C. Sideris Shu-Yi Tu	12
+	Long-Time Existence of Quasilinear Wave Equations Exterior to Star-Shaped Obstacles via Energy Methods	2006	Jason Metcalfe Christopher D. Sogge	11
+	Almost global existence of elastic waves of finite amplitude arising from small initial disturbances	1988	Fritz John	11
+	Uniform decay estimates and the lorentz invariance of the classical wave equation	1985	Sergiù Klainerman	11
+	Global and almost global existence for general quasilinear wave equations in two space dimensions	2018	Dongbing Zha	10
+	Space–time L2 estimates for elastic waves and applications	2017	Dongbing Zha	9
+ PDF Chat	Almost global existence for some semilinear wave equations	2002	M. Keel Hart F. Smith Christopher D. Sogge	9
+ PDF Chat	The global stability of Minkowski space-time in harmonic gauge	2010	Hans Lindblad Igor Rodnianski	9
+	The null condition and global existence of nonlinear elastic waves	1996	Thomas C. Sideris	9
+ PDF Chat	Remarks on nonlinear elastic waves in the radial symmetry in 2-D	2016	Dongbing Zha	8
+	Almost global existence to nonlinear wave equations in three space dimensions	1984	Franklin John Sergiù Klainerman	8
+ PDF Chat	Global existence of null-form wave equations in exterior domains	2007	Jason Metcalfe Christopher D. Sogge	8
+	On one-dimension semi-linear wave equations with null conditions	2018	Garving K. Luli Shiwu Yang Pin Yu	7
+ PDF Chat	Global Existence for Systems of Nonlinear Wave Equations in Two Space Dimensions	1993	Soichiro Katayama	7
+	Almost global existence for quasilinear wave equations in three space dimensions	2003	M. Keel Hart F. Smith Christopher D. Sogge	7
+	On the lifespan of solutions of nonlinear wave equations with small initial data	1990	Hans Lindblad	7
+	Formation of singularities in elastic waves	1984	Fritz John	7
+	Remarks on the global sobolev inequalities in the minkowski space R<sup>n+1</sup>	1987	Sergiù Klainerman	7
+ PDF Chat	Space-time <i>L</i> <sup>2</sup> estimates, regularity and almost global existence for elastic waves	2018	Kunio Hidano Dongbing Zha	7
+	Remarks on a weighted energy estimate and its application to nonlinear wave equations in one space dimension	2013	Makoto Nakamura	7
+	On almost global existence and local well-posedness for some 3-D quasi-linear wave equations	2010	Kunio Hidano Chengbo Wang Kazuyoshi Yokoyama	7
+	Geometric Analysis of Hyperbolic Differential Equations: An Introduction	2010	Serge Alinhac	7
+	None	2005	Jacob Sterbenz	6
+	Global Solutions and the Asymptotic Behavior for Nonlinear Wave Equations with Small Initial Data	2017		6
+	Life–span of classocal solutions to fully nonlinear wave equations	1991	Tatsien Li Li Xin Yu	6
+	Blow‐up for quasi‐linear wave equations in three space dimensions	1981	Fritz John	6
+	Lifespan of solutions of semilinear wave equations in two space dimensions	1993	Paul Godin	6
+	Global existence for three‐dimensional incompressible isotropic elastodynamics	2007	Thomas C. Sideris Becca Thomases	6
+	The initial value problems for quasi‐linear wave equations in two space dimensions with small data	1992	Akira Hoshiga	6
+ PDF Chat	Global Existence for Systems of Nonlinear Wave Equations in Two Space Dimensions, II	1995	Soichiro Katayama	6
+ PDF Chat	A note on the life-span of classical solutions to nonlinear wave equations in four space dimensions	1995	Tatsien Li Yi Zhou	6
+	Nonlinear Wave Equations, Formation of Singularities	1990	Fritz John	6
+	On nonlinear elastic waves in 2-D	2019	Dongbing Zha	5
+ PDF Chat	On almost global existence and local well posedness for some 3-D quasi-linear wave equations	2012	Kunio Hidano Chengbo Wang Kazuyoshi Yokoyama	5
+	Some remarks on quasilinear wave equations with null condition in 3‐D	2016	Dongbing Zha	5
+	Global existence for nonlinear wave equations	1980	Sergiù Klainerman	5
+	Lower Bounds for the Lifespan of Solutions to Nonlinear Wave Equations in Elasticity	2012	Hideo Kubo	5
+	Almost global existence for the initial value problem of nonlinear elastodynamic system	2007	Jie Xin Qin Tiehu	5
+ PDF Chat	On one-dimension quasilinear wave equations with null conditions	2020	Dongbing Zha	5
+	Global existence for three‐dimensional incompressible isotropic elastodynamics via the incompressible limit	2004	Thomas C. Sideris Becca Thomases	5
+	Space-time $L^2$-estimates and life span of the Klainerman-Machedon radial solutions to some semi-linear wave equations	2006	Kunio Hidano Kazuyoshi Yokoyama	5
+	Elastic waves in exterior domains. Part I. Almost global existence	2006	J. Metcalfe	5
+	On the Fully Non-Linear Cauchy Problem with Small Data. II.	1991	Lars Hörmander	5
+ PDF Chat	The Existence of Global Solutions to Systems of Quasilinear Wave Equations with Quadratic Nonlinearities in 2-Dimensional Space	2006	Akira Hoshiga	5
+	Global Existence for a Quasilinear Wave Equation Outside of Star-Shaped Domains	2002	M. Keel Hart F. Smith Christopher D. Sogge	5