Cover Image

John's blow up examples and scattering solutions for semi-linear wave equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bernhardt, Louie, Schlue, Volker, Yu, Dongxiao
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Scattering for wave equations with sources close to the lightcone and prescribed radiation fields
by: Lindblad, Hans, et al.
Published: (2023)

Inverse modified scattering and polyhomogeneous expansions for the Vlasov--Poisson system
by: Schlue, Volker, et al.
Published: (2024)

Linear waves on the expanding region of Schwarzschild-de Sitter spacetimes: forward asymptotics and scattering from infinity
by: Bernhardt, Louie
Published: (2024)

Nontrivial global solutions to some quasilinear wave equations in three space dimensions
by: Yu, Dongxiao
Published: (2022)

Timelike asymptotics for global solutions to a scalar quasilinear wave equation satisfying the weak null condition
by: Yu, Dongxiao
Published: (2024)

Future stability of solutions of the Einstein-nonlinear scalar field system with decelerated expansion
by: Bernhardt, Louie
Published: (2025)

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes
by: Nakamura, Makoto, et al.
Published: (2025)

On blow-up for the supercritical defocusing nonlinear wave equation
by: Shao, Feng, et al.
Published: (2024)

A note on the stability of self-similar blow-up solutions for superconformal semilinear wave equations
by: Liu, Jie
Published: (2025)

Global solutions and blow-up for the wave equation with variable coefficients: II. boundary supercritical source
by: Ha, Tae Gab
Published: (2023)

Asymptotic completeness for a scalar quasilinear wave equation satisfying the weak null condition
by: Yu, Dongxiao
Published: (2021)

To blow-up or not to blow-up for a granular kinetic equation
by: Carrillo, José A., et al.
Published: (2024)

Finite time blow-up and global solutions for the viscoelastic wave equation with combined power-type nonlinearities
by: Lin, Haiyang, et al.
Published: (2025)

On the collapse of the local Rayleigh condition and the finite time blow-up for the semi-lagrangian equations
by: Cañulef-Aguilar, Victor
Published: (2021)

Minimal mass blow-up solutions for a inhomogeneous NLS equation
by: Cardoso, Mykael, et al.
Published: (2024)

On the Classification of blow-up solutions of a singular Liouville equation on the disk
by: Chen, Zhijie, et al.
Published: (2026)

Self-similar blow up for energy supercritical semilinear wave equation
by: Kim, Jihoi
Published: (2022)

Instantaneous blow up solutions for nonlinear Sobolev type equations on the Heisenberg Group
by: Borikhanov, Meiirkhan B., et al.
Published: (2023)

Exponential blow-up of mild solutions to the fractional Boussinesq equations in the Gevrey class
by: Melo, Wilberclay G., et al.
Published: (2025)

A simple proof of the Uniqueness of blow-up solutions of mean field equations
by: Wu, Lina, et al.
Published: (2026)

Construction of type II blow-up solutions for the energy-critical wave equation with an inverse-square potential in dimension 3
by: Wang, Dinghan
Published: (2024)

Qualitative properties of blowing-up solutions of nonlinear elliptic equations with critical Sobolev exponent
by: Yang, Minbo, et al.
Published: (2025)

Finite time blow-up of non-radial solutions for some inhomogeneous Schrödinger equations
by: Bai, Ruobing, et al.
Published: (2023)

Construction of blow-up solutions for the focusing energy-critical nonlinear wave equation in $\mathbb{R}^4$ and $\mathbb{R}^5$
by: Samuelian, Dylan
Published: (2024)

NLS equation with competing inhomogeneous nonlinearities: ground states, blow-up, and scattering
by: Gou, Tianxiang, et al.
Published: (2023)

Scattering and stability for ODE-type blow-up surfaces for focusing nonlinear wave equations
by: Kadar, Istvan, et al.
Published: (2026)

Sharp blow-up stability for self-similar solutions of the modified Korteweg-de Vries equation
by: Correia, Simão, et al.
Published: (2024)

Nonexistence of minimal mass blow-up solution for the 2D cubic Zakharov-Kuznetsov equation
by: Chen, Gong, et al.
Published: (2024)

Uniform boundedness and blow-up rate of solutions in non-scale-invariant superlinear heat equations
by: Fujishima, Yohei, et al.
Published: (2024)

Construction of two-bubble blow-up solutions for the mass-critical gKdV equations
by: Lan, Yang, et al.
Published: (2026)

Boundary blow-up solutions to real $(N-1)$-Monge-Ampère equations with singular weights
by: Saha, Kiran Kumar, et al.
Published: (2025)

Instantaneous Type I blow-up and non-uniqueness of smooth solutions of the Navier-Stokes equations
by: Cheskidov, Alexey, et al.
Published: (2025)

Qualitative properties of single blow-up solutions for nonlinear Hartree equation with slightly subcritical exponent
by: Cannone, Alessandro, et al.
Published: (2025)

Construction of blow-up solution with minimal mass for 2D cubic Zakharov--Kuznetsov equation
by: Lan, Yang, et al.
Published: (2025)

Stability of the expanding region of Kerr de Sitter spacetimes
by: Fournodavlos, Grigorios, et al.
Published: (2024)

Global well-posedness, scattering and blow-up for the energy-critical, Schrödinger equation with general nonlinearity in the radial case
by: Wang, Jun, et al.
Published: (2024)

Stable Type I blow-up for the one-dimensional wave equation with time-derivative nonlinearity
by: Gough, Oliver
Published: (2025)

On the blow-up for a Kuramoto-Velarde type equation
by: Jarrin, Oscar, et al.
Published: (2024)

Partially invariant solution with an arbitrary surface of blow-up for the gas dynamics equations admitting pressure translation
by: Siraeva, Dilara
Published: (2024)

Finite time blow up solutions for heat equations with Neumann boundary conditions on $\mathbb{R}_{+}^{4}$
by: Fang, Xiang, et al.
Published: (2025)