The critical power of short pulse initial data on the global existence or blowup of smooth solutions to 3-D semilinear Klein-Gordon equations
Fuente:
arXiv
Saved in:
| Main Authors: | Shen, Jindou, Yin, Huicheng |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Global smooth solutions to 4D quasilinear wave equations with short pulse initial data
by: Ding, Bingbing, et al.
Published: (2023)
by: Ding, Bingbing, et al.
Published: (2023)
Almost global solutions of 1D nonlinear Klein-Gordon equations with small weakly decaying initial data
by: Hou, Fei, et al.
Published: (2023)
by: Hou, Fei, et al.
Published: (2023)
Long time solutions of quasilinear Klein-Gordon equations with small weakly decaying initial data
by: Hou, Fei, et al.
Published: (2023)
by: Hou, Fei, et al.
Published: (2023)
Global smooth solutions of 2D quasilinear wave equations with higher order null conditions and short pulse initial data
by: Ding, Bingbing, et al.
Published: (2024)
by: Ding, Bingbing, et al.
Published: (2024)
On global smooth solutions to the 2D isentropic and irrotational Chaplygin gases with short pulse data
by: Ding, Bingbing, et al.
Published: (2022)
by: Ding, Bingbing, et al.
Published: (2022)
On the critical exponent $p_c$ of the 3D quasilinear wave equation $-\big(1+(\partial_tϕ)^p\big)\partial_t^2ϕ+Δϕ=0$ with short pulse initial data. I, global existence
by: Ding, Bingbing, et al.
Published: (2022)
by: Ding, Bingbing, et al.
Published: (2022)
On the global existence and blowup of smooth solutions to the multi-dimensional compressible Euler equations with time-depending damping
by: Hou, Fei, et al.
Published: (2016)
by: Hou, Fei, et al.
Published: (2016)
On the critical exponent $p_c$ of the 3D quasilinear wave equation $-\big(1+(\partial_tϕ)^p\big)\partial_t^2ϕ+Δϕ=0$ with short pulse initial data. II, shock formation
by: Lu, Yu, et al.
Published: (2022)
by: Lu, Yu, et al.
Published: (2022)
Global existence of small data weak solutions to the semilinear wave equations with time-dependent scale-invariant damping
by: He, Daoyin, et al.
Published: (2024)
by: He, Daoyin, et al.
Published: (2024)
Long time existence of smooth solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity
by: Hou, Fei, et al.
Published: (2021)
by: Hou, Fei, et al.
Published: (2021)
Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, III
by: Li, Qianqian, et al.
Published: (2025)
by: Li, Qianqian, et al.
Published: (2025)
Long time smooth solutions of 3D cubic quasilinear wave systems with small weakly decaying initial data
by: Gao, Mu, et al.
Published: (2026)
by: Gao, Mu, et al.
Published: (2026)
Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, I
by: Qianqian, Li, et al.
Published: (2025)
by: Qianqian, Li, et al.
Published: (2025)
Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, II
by: He, Daoyin, et al.
Published: (2025)
by: He, Daoyin, et al.
Published: (2025)
Global smooth solutions of 2-D quadratically quasilinear wave equations with null conditions in exterior domains, II
by: Hou, Fei, et al.
Published: (2025)
by: Hou, Fei, et al.
Published: (2025)
Global smooth axisymmetric solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity
by: Hou, Fei, et al.
Published: (2018)
by: Hou, Fei, et al.
Published: (2018)
Global existence and scattering of small data smooth solutions to quasilinear wave systems on $\mathbb{R}^2\times\mathbb{T}$, II
by: Hou, Fei, et al.
Published: (2024)
by: Hou, Fei, et al.
Published: (2024)
The partial null conditions and global smooth solutions of the nonlinear wave equations on $\mathbb{R}^d\times\mathbb{T}$ with $d=2,3$
by: Hou, Fei, et al.
Published: (2023)
by: Hou, Fei, et al.
Published: (2023)
Global existence and scattering of small data smooth solutions to a class of quasilinear wave systems on $\mathbb{R}^2\times\mathbb{T}$
by: Hou, Fei, et al.
Published: (2024)
by: Hou, Fei, et al.
Published: (2024)
Global smooth solutions of 2-D quadratic quasilinear wave equations with null conditions in exterior domains
by: Hou, Fei, et al.
Published: (2024)
by: Hou, Fei, et al.
Published: (2024)
Global existence of smooth solution to evolutionary Faddeev model with short-pulse data
by: Luo, Shaoying, et al.
Published: (2025)
by: Luo, Shaoying, et al.
Published: (2025)
Uniform-in-mass global existence for 4D Dirac-Klein-Gordon equations
by: Zhao, Jingya
Published: (2024)
by: Zhao, Jingya
Published: (2024)
Quantitative evaluations of stability and convergence for solutions of semilinear Klein--Gordon equation
by: Tsuchiya, Takuya, et al.
Published: (2025)
by: Tsuchiya, Takuya, et al.
Published: (2025)
Long time smooth solutions of 2-D quadratic quasilinear wave equations in exterior domains with Neumann boundary conditions
by: Hou, Fei, et al.
Published: (2026)
by: Hou, Fei, et al.
Published: (2026)
Formation and construction of a shock wave for one dimensional $n\times n$ strictly hyperbolic conservation laws with small smooth initial data
by: Ding, Min, et al.
Published: (2022)
by: Ding, Min, et al.
Published: (2022)
On the existence and nonexistence of global solutions of the semilinear heat equation
by: Zhang, Kaiqiang, et al.
Published: (2026)
by: Zhang, Kaiqiang, et al.
Published: (2026)
Global existence of solutions of a loglog energy-supercritical Klein-Gordon equation
by: Roy, Tristan
Published: (2021)
by: Roy, Tristan
Published: (2021)
Global existence for 2-D wave maps equation in exterior domains
by: Hou, Fei, et al.
Published: (2025)
by: Hou, Fei, et al.
Published: (2025)
Revisit on global existence of solutions for semilinear damped wave equations in $\mathbb{R}^N$ with noncompactly supported initial data
by: Wakasugi, Yuta
Published: (2024)
by: Wakasugi, Yuta
Published: (2024)
Global existence and decay of small solutions in a viscous half Klein-Gordon equation
by: Garénaux, Louis, et al.
Published: (2025)
by: Garénaux, Louis, et al.
Published: (2025)
Global smooth solutions to 2D semilinear wave equations with large data
by: Ding, Bingbing, et al.
Published: (2023)
by: Ding, Bingbing, et al.
Published: (2023)
Wave turbulence for a semilinear Klein-Gordon system
by: de Suzzoni, Anne-Sophie, et al.
Published: (2025)
by: de Suzzoni, Anne-Sophie, et al.
Published: (2025)
Gradient blowup of smooth vacuum solutions to 1D compressible Euler equations
by: Jang, Juhi, et al.
Published: (2026)
by: Jang, Juhi, et al.
Published: (2026)
On a semilinear heat equation on infinite graphs II: blow-up for arbitrary initial data and global existence
by: Punzo, Fabio, et al.
Published: (2026)
by: Punzo, Fabio, et al.
Published: (2026)
Non-uniqueness of smooth solutions of the 5D magnetohydrodynamic equations from critical data
by: Chen, Zipeng, et al.
Published: (2026)
by: Chen, Zipeng, et al.
Published: (2026)
Global smooth solutions to Navier-Stokes equations with large initial data in critical space
by: Li, Haina, et al.
Published: (2025)
by: Li, Haina, et al.
Published: (2025)
Standing wave solutions and instability for the Logarithmic Klein-Gordon equation
by: Han, Lijia, et al.
Published: (2024)
by: Han, Lijia, et al.
Published: (2024)
The global existence and blowup of the classical solution to the relativistic dust in a FLRW geometry
by: Ju, Xianshu, et al.
Published: (2025)
by: Ju, Xianshu, et al.
Published: (2025)
Rigidity of solutions to singular/degenerate semilinear critical equations
by: Catino, Giovanni, et al.
Published: (2025)
by: Catino, Giovanni, et al.
Published: (2025)
Instantaneous blowup and non-uniqueness of smooth solutions of MHD
by: Dai, Mimi
Published: (2026)
by: Dai, Mimi
Published: (2026)
Similar Items
-
Global smooth solutions to 4D quasilinear wave equations with short pulse initial data
by: Ding, Bingbing, et al.
Published: (2023) -
Almost global solutions of 1D nonlinear Klein-Gordon equations with small weakly decaying initial data
by: Hou, Fei, et al.
Published: (2023) -
Long time solutions of quasilinear Klein-Gordon equations with small weakly decaying initial data
by: Hou, Fei, et al.
Published: (2023) -
Global smooth solutions of 2D quasilinear wave equations with higher order null conditions and short pulse initial data
by: Ding, Bingbing, et al.
Published: (2024) -
On global smooth solutions to the 2D isentropic and irrotational Chaplygin gases with short pulse data
by: Ding, Bingbing, et al.
Published: (2022)