Cover Image

Existence of a solution to the scattering problem for the ultrahyperbolic equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Demchenko, Maxim N.
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs 35B40
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Asymptotic properties of solutions to the characteristic problem for the ultrahyperbolic equation
by: Demchenko, Maxim N.
Published: (2026)

On a certain representation of a solution to the characteristic problem for the ultrahyperbolic equation
by: Demchenko, Maxim N.
Published: (2026)

Nonlinear asymptotic stability of inhomogeneous steady solutions to boundary problems of Vlasov-Poisson equation
by: Kim, Chanwoo
Published: (2022)

Modified scattering for the cubic Schrödinger equation on Diophantine waveguides
by: Camps, Nicolas, et al.
Published: (2024)

Large time behavior of solutions to the Cauchy problem for the BBM-Burgers equation
by: Fukuda, Ikki, et al.
Published: (2022)

A new type of bubble solutions for a critical fractional Schrödinger equation
by: Du, Fan, et al.
Published: (2023)

Higher-order asymptotic profiles for solutions to the Cauchy problem for a dispersive-dissipative equation with a cubic nonlinearity
by: Fukuda, Ikki, et al.
Published: (2022)

Asymptotic profile of solutions to the Cauchy problem for the generalized Kadomtsev-Petviashvili equations with anisotropic dissipation in 2D
by: Fukuda, Ikki
Published: (2026)

Existence and asymptotic behavior for $L^2$-norm preserving nonlinear heat equations
by: Antonelli, Paolo, et al.
Published: (2022)

Existence and concentration of ground state solutions for an exponentially critical Choquard equation involving mixed local-nonlocal operators
by: Chen, Shaoxiong, et al.
Published: (2026)

A game-theoretic approach to the asymptotic behavior of solutions to an obstacle problem for the mean curvature flow equation
by: Misu, Kuniyasu
Published: (2024)

The properties of the solution for the Cauchy problem of a double nonlinear time-dependent parabolic equation in non-divergence form with a source or absorption
by: Aripov, Mersiad, et al.
Published: (2024)

On decay and regularly of solutions of the Benjamin-Ono equation
by: Linares, Felipe, et al.
Published: (2025)

Boundedness of solutions of nonautonomous degenerate logistic equations
by: Arrieta, José M., et al.
Published: (2023)

Existence of multisoliton solutions of the gravitational Hartree equation in three dimensions
by: Wu, Yutong
Published: (2024)

Global well-posedness and scattering of 3D defocusing, cubic Schrödinger equation
by: Shen, Jia, et al.
Published: (2020)

Existence of infinitely many solutions for the fractional Schrödinger- Maxwell equations
by: Wei, Zhongli
Published: (2015)

Normalized solutions of quasilinear Schrödinger equations with a general nonlinearity
by: Deng, Ting, et al.
Published: (2024)

Decay of solutions to one-dimensional inhomogeneous nonlinear Schrödinger equations
by: Cui, Zhi-Yuan, et al.
Published: (2024)

Asymptotic profiles of solutions for the generalized Fornberg-Whitham equation with dissipation
by: Fukuda, Ikki
Published: (2022)

New solutions for the Lane-Emden problem on planar domains
by: Battaglia, Luca, et al.
Published: (2024)

Higher-order asymptotic profiles of the solutions to the viscous Fornberg-Whitham equation
by: Fukuda, Ikki, et al.
Published: (2020)

Classification and symmetry of global solutions for nonlinear elliptic equations with mixed reaction terms
by: Chen, Huyuan, et al.
Published: (2025)

Higher-order asymptotic profiles of solutions to the Cauchy problem for the convection-diffusion equation with variable diffusion
by: Fukuda, Ikki, et al.
Published: (2024)

Multiplicity of solutions for semilinear Robin problems involving sign-changing nonlinearities
by: Tapia, José Carmona, et al.
Published: (2025)

Asymptotic behavior of solutions to the generalized KdV-Burgers equation with slowly decaying data
by: Fukuda, Ikki
Published: (2018)

Existence of hyperbolic blow-up to the generalized quasi-geostrophic equation
by: Ferreira, Lucas C. F., et al.
Published: (2025)

On the weak Harnack inequality for unbounded non-negative super-solutions of degenerate double-phase parabolic equations
by: Savchenko, Mariia, et al.
Published: (2023)

Refinement of the $L^{2}$-decay estimate of solutions to nonlinear Schrödinger equations with attractive-dissipative nonlinearity
by: Kita, Naoyasu, et al.
Published: (2025)

Uniqueness and nondegeneracy of least-energy solutions to fractional Dirichlet problems
by: Dieb, Abdelrazek, et al.
Published: (2023)

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

Asymptotic stability of a wide class of stationary solutions for the Hartree and Schrödinger equations for infinitely many particles
by: Hadama, Sonae
Published: (2023)

Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic system by $W^{1,p}$ energy analysis
by: Claes, Leander, et al.
Published: (2025)

Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev--Petviashvili--Burgers equation in 2D
by: Fukuda, Ikki, et al.
Published: (2022)

Perturbation of parabolic equations with time-dependent linear operators: convergence of linear processes and solutions
by: Belluzi, Maykel
Published: (2024)

Radiation fields for semilinear Dirac equations with spinor null forms
by: Jia, Jin, et al.
Published: (2023)

Classification of solutions to the singular Liouville's equation associated with the $N$ Finsler Laplacian
by: Xue, Jianwei, et al.
Published: (2026)

Existence and upper semicontinuity of pullback attractors for Kirchhoff wave equations in time-dependent spaces
by: Yang, Bin, et al.
Published: (2024)

Time periodic problem of compressible Euler equations with damping on the whole space
by: Tang, Houzhi, et al.
Published: (2025)

Exponential stability of solutions to perturbed superstable wave equations
by: Kmit, I., et al.
Published: (2018)