Cover Image

Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Dasgupta, Aparajita, Kumar, Vishvesh, Mondal, Shyam Swarup, Ruzhansky, Michael
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs Primary 43A80, 35L71, 35A01, Secondary 35B33, 35B44
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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)

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

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)

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)

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)

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)

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

Global existence and nonexistence of semilinear wave equation with a new condition
by: Sabitbek, Bolys
Published: (2021)

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

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

Inhomogeneous parabolic equations with Hardy potential and memory on the Heisenberg group
by: Oza, Priyank, et al.
Published: (2026)

Fujita-type results for the semilinear heat equations driven by mixed local-nonlocal operators
by: Kumar, Vishvesh, et al.
Published: (2025)

Blow-up criteria for the semilinear parabolic equations driven by mixed local-nonlocal operators
by: Kumar, Vishvesh, et al.
Published: (2025)

Effect of additional regularity for the initial data on semi-linear $σ$-evolution equations with different damping types
by: Van Duong, Dinh, et al.
Published: (2025)

Critical exponent for the one-dimensional wave equation with a space-dependent scale invariant damping and time derivative nonlinearity
by: Fino, Ahmad Z., et al.
Published: (2025)

Heat equations driven by mixed local-nonlocal operators with exponential nonlinearity
by: Chaurasia, Dharmendra Kumar, et al.
Published: (2026)

On the asymptotic profile of solutions to semilinear damped wave equations with critical nonlinearities
by: Tang, Trung Loc, et al.
Published: (2025)

Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified Groups
by: Ruzhansky, Michael, et al.
Published: (2021)

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

On the existence of global solutions of second-order quasilinear elliptic inequalities
by: Kon'kov, A. A., et al.
Published: (2025)

Critical curve for a weakly coupled system of semi-linear $σ$-evolution equations with different damping types
by: Van Duong, Dinh, et al.
Published: (2024)

The Fujita exponent for a heat equation with mixed local and nonlocal nonlinearities on the Heisenberg group
by: Sabbagh, Zineb, et al.
Published: (2025)

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

Upper bound of higher-order Sobolev norms for Zkaharov system in one space dimension
by: Kobayashi, Nobutatsu
Published: (2024)

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)

Revisiting the blow-up criterion and the maximal existence time for solutions of the parabolic-elliptic Keller-Segel system in 2d-Euclidean space
by: Maheux, Patrick, et al.
Published: (2025)

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

Blow-up and global mild solutions for a Hardy-Hénon parabolic equation on the Heisenberg group
by: Castillo, Ricardo, et al.
Published: (2025)

A semilinear problem associated to the space-time fractional heat equation in $\mathbb{R}^N$
by: Cortázar, Carmen, et al.
Published: (2024)

Fractional Keller-Segel Equation: Global Well-posedness and Finite Time Blow-up
by: Lafleche, Laurent, et al.
Published: (2018)

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)

Well-posedness and asymptotic behavior of solutions to a second order nonlocal parabolic MEMS equation
by: Wei, Yufei, et al.
Published: (2026)

Boundary Blowup Solutions for the Finsler p-Laplacian: Wellposedness and Asymptotic Behaviour
by: Dattatreya, N N
Published: (2026)

Threshold property of a singular stationary solution for semilinear heat equations with exponential growth
by: Hisa, Kotaro, et al.
Published: (2024)

A complete characterization of sharp thresholds to spherically symmetric multidimensional pressureless Euler-Poisson systems
by: Bhatnagar, Manas, et al.
Published: (2023)

Sharp criteria for a degenerate diffusion-aggregation system with the intermediate exponent
by: Zhou, Tiantian, et al.
Published: (2025)

Local existence of solutions and blow-up criteria for the Boussinesq equations in Lei-Lin-Gevrey Spaces
by: Guidolin, Patrícia L., et al.
Published: (2026)

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

Global existence and blow-up of solutions to the double nonlinear porous medium equation
by: Sabitbek, Bolys, et al.
Published: (2021)