Cover Image

Dynamics of 3D focusing, energy-critical wave equation with radial data

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Shen, Ruipeng
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs 35L05, 35L71
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Scattering theory for subcritical wave equation with inverse square potential
by: Miao, Changxing, et al.
Published: (2020)

Non-radiative solutions and long-time dynamics of 5D focusing energy-critical wave equation in the radial case
by: Shen, Ruipeng
Published: (2025)

Global weak solution of 3-D focusing energy-critical nonlinear Schrödinger equation
by: Cheng, Xing, et al.
Published: (2023)

Nonexistence of multi-bubble radial solutions to the 3D energy critical wave equation
by: Shen, Ruipeng
Published: (2026)

Semilinear wave equations with time-dependent coefficients
by: Antonić, Nenad, et al.
Published: (2026)

Classification of radial solutions of energy-critical wave systems
by: Duyckaerts, Thomas, et al.
Published: (2025)

Nonexistence of pure bubble type II blow-up solutions to energy critical wave equation in the 3D radial case
by: Shen, Ruipeng
Published: (2026)

Almost sure local well-posedness for a derivative nonlinear wave equation
by: Bringmann, Bjoern
Published: (2018)

Radial blow-up standing solutions for the semilinear wave equation
by: Boughrara, Maissâ, et al.
Published: (2024)

Global existence for wave and beam equations with double damping and a new power nonlinearity
by: Said, Khaldi, et al.
Published: (2024)

Construction of infinite time bubble tower solutions to critical wave maps equation
by: Hwang, Seunghwan, et al.
Published: (2026)

Stability estimates for inverse problems for semi-linear wave equations on Lorentzian manifolds
by: Lassas, Matti, et al.
Published: (2021)

Blow-up result for a weakly coupled system of two Euler-Poisson-Darboux-Tricomi equations with time derivative nonlinearity
by: Hassen, Mohamed Fahmi Ben, et al.
Published: (2023)

On $L^p-L^{p'}$ estimates for a class of strongly damped wave equations
by: Mohamad, Haidar
Published: (2024)

The blow-up rate for a log non-scaling invariant semilinear wave equation in the conformal regime
by: Hamza, Mohamed Ali
Published: (2026)

On the wave equation with Coulomb potential
by: Li, Liang, et al.
Published: (2024)

Blow-up of solutions to the Euler-Poisson-Darbox equation with critical power nonlinearity
by: Fan, Mengting, et al.
Published: (2026)

Gaussian beam interactions and inverse source problems for nonlinear wave equations
by: Lassas, Matti, et al.
Published: (2025)

Scalar behavior for a complex multi-soliton arising in blow-up for a semilinear wave equation
by: Azaiez, Asma, et al.
Published: (2025)

Generalized Strauss conjecture for semilinear wave equations on $\mathbb{R}^3$
by: Wang, Chengbo, et al.
Published: (2024)

Regularity and singularity of the blow-up curve for a wave equation with a derivative nonlinearity and a scale-invariant damping
by: Bchatnia, Ahmed, et al.
Published: (2026)

Explicit formula of radiation fields of free waves with applications on channel of energy
by: Li, Liang, et al.
Published: (2021)

Blow-up of solutions to semilinear wave equations with spatial derivatives
by: Shao, Kerun, et al.
Published: (2024)

Semilinear damped wave equations with data from Sobolev spaces of negative order: the critical case in Euclidean setting and in the Heisenberg space
by: D'Abbicco, Marcello
Published: (2024)

Breather solutions for semilinear wave equations
by: Henninger, Julia, et al.
Published: (2025)

Criteria of the existence of global solutions to semilinear wave equations with first-order derivatives on exterior domains
by: Shao, Kerun
Published: (2024)

Asymptotic expansion for a class of second-order evolution equations in the energy space and its applications
by: Sobajima, Motohiro
Published: (2024)

Existence of solutions to the semilinear damped wave equation with non-$L^2$ slowly decaying data : polynomial nonlinearity case
by: Ikeda, Masahiro, et al.
Published: (2025)

Lifespan Lower Estimates for a Strongly Damped Semilinear Wave Equation
by: Kaabi, Firas
Published: (2026)

Global well-posedness of the energy-critical stochastic Hartree nonlinear wave equation
by: Li, Guopeng, et al.
Published: (2023)

Curvilinear parallelogram identity and mean-value property for a semilinear hyperbolic equation of second-order
by: Korzyuk, V. I., et al.
Published: (2022)

Appearance of Strauss-type exponent in semilinear wave equations with time-dependent speed of propagation
by: Sobajima, Motohiro, et al.
Published: (2024)

On the blow-up of solutions to scale-invariant wave equations with damping and mass: Beyond the positive discriminant restriction
by: Hamza, Mohamed Ali
Published: (2026)

A new critical exponent for semi-linear damped wave equations with the initial data from Sobolev spaces of negative order
by: Van Duong, Dinh, et al.
Published: (2025)

Global well-posedness of the defocusing, cubic nonlinear wave equation outside of the ball with radial data
by: Xu, Guixiang, et al.
Published: (2024)

Slicing method for nonlinear integral inequalities related to critical nonlinear wave equations
by: Sasaki, Takiko, et al.
Published: (2025)

A new critical exponent for the semilinear damped wave equation with Hartree-type nonlinearity and initial data from homogeneous Besov spaces
by: Phan, Duc An
Published: (2026)

Critical curve for the weakly coupled system of damped wave equations with mixed nonlinearities
by: Van Duong, Dinh, et al.
Published: (2025)

Global well-posedness of the energy-critical stochastic nonlinear wave equations
by: Brun, Enguerrand, et al.
Published: (2023)

Global existence of solutions for semilinear damped wave equation with nonlinearities of derivative type
by: Van Duong, Dinh, et al.
Published: (2025)