Cover Image

Recent developments on the lifespan estimate for classical solutions of nonlinear wave equations in one space dimension

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Takamura, Hiroyuki
Format:	Preprint
Published:	2023
Subjects:	Analysis of PDEs Primary 35L71, Secondary 35B44
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Note on the existence of classical solutions of derivative semilinear models for one dimensional wave equation
by: Haruyama, Yuki, et al.
Published: (2024)

A revisit on the critical blow-up for semilinear wave equations in low space dimensions with slicing method
by: Takamura, Hiroyuki
Published: (2025)

Lifespan estimate for one dimensional wave equation with semilinear terms of spatial derivative
by: Lai, Ning-An, et al.
Published: (2026)

A revisit via slicing method on a quadratic semilinear wave equation in two space dimensions
by: Kato, Masakazu, et al.
Published: (2026)

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

Blow-up of classical solutions of quasilinear wave equations in one space dimension
by: Haruyama, Yuki, et al.
Published: (2024)

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

The generalized combined effect for one dimensional wave equations with semilinear terms including product type
by: Kido, Ryuki, et al.
Published: (2023)

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)

Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order
by: Dasgupta, Aparajita, et al.
Published: (2024)

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

Mode stability of blow-up for wave maps in the absence of symmetry
by: Weissenbacher, Max, et al.
Published: (2025)

Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces
by: Dasgupta, Aparajita, et al.
Published: (2024)

Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces: the critical case
by: Kumar, Vishvesh, et al.
Published: (2024)

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

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 the semilinear damped wave equation with Riesz potential-type power nonlinearity and initial data in pseudo-measure spaces
by: Loc, Tang Trung, et al.
Published: (2026)

Mode stability of self-similar wave maps without symmetry in higher dimensions
by: Donninger, Roland, et al.
Published: (2026)

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)

Blow-up solutions of damped Klein-Gordon equation on the Heisenberg group
by: Ruzhansky, Michael, et al.
Published: (2022)

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

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

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

Blow up and lifespan estimates for systems of semi-linear wave equations with dampings and potentials
by: Liu, Mengliang
Published: (2022)

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)

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)

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

Generalized Strauss conjecture for semilinear wave equations on $\mathbb{R}^3$
by: Wang, Chengbo, 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)

Blow-up results for a Nakao-type problem with a time-dependent damping term and derivative-type nonlinearities
by: Li, Yuequn, et al.
Published: (2025)

On the blow-up of solutions to a Nakao-type problem with a time-dependent damping term
by: Li, Yuequn, et al.
Published: (2025)

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

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

Fractional semilinear damped wave equation on the Heisenberg group
by: Dasgupta, Aparajita, et al.
Published: (2025)

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

A New Quasi-Singularity Formation Mechanism for Second-order Hyperbolic Equations
by: Diao, Huaian, et al.
Published: (2025)

Sharp behavior of semilinear damped wave equations driven by mixed local-nonlocal operators
by: Chen, Wenhui, et al.
Published: (2025)

Upper estimates of the lifespan for the fractional wave equations with time-dependent damping and a power nonlinearity of subcritical and critical Fujita exponent
by: Lin, Jiayun, et al.
Published: (2024)

Multisoliton solutions and blow up for the $L^2$-critical Hartree equation
by: Gómez, Jaime, et al.
Published: (2025)

Optimal $L^2$-blowup estimates of the Fractional Wave Equation
by: Ikeda, Masahiro, et al.
Published: (2024)