Cover Image

Smoothing effect for higher order dispersive equations and applications to nonlinear initial value problems

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Junior, Alexandre Arias, Ascanelli, Alessia, Cappiello, Marco
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs 35B65, 35G25, 35S05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Gevrey well posedness for $3$-evolution equations with variable coefficients
by: Junior, Alexandre Arias, et al.
Published: (2021)

The Cauchy problem for $p$-evolution equations with variable coefficients in Gevrey classes
by: Junior, Alexandre Arias, et al.
Published: (2024)

The Cauchy problem for $p$-evolution equations with initial data in Gelfand-Shilov spaces
by: Cappiello, Marco, et al.
Published: (2025)

Schrödinger type equations with singular coefficients and lower order terms
by: Junior, Alexandre Arias, et al.
Published: (2024)

Schwartz very weak solutions for Schrödinger type equations with distributional coefficients
by: Junior, Alexandre Arias, et al.
Published: (2024)

Cauchy problem for the time-fractional generalized Kuramoto-Sivashinsky equation
by: Ashurov, R. R., et al.
Published: (2026)

A regularity theory for an initial value problem with a time-measurable pseudo-differential operator in a weighted $L_p$-space
by: Choi, Jae-Hwan, et al.
Published: (2023)

Analysis of linear elliptic equations with general drifts and $L^1$-zero-order terms
by: Lee, Haesung
Published: (2024)

Regularity for mixed-order nonlinear fractional equations with degenerate coefficients
by: Lee, Ho-Sik, et al.
Published: (2025)

Globally solvable time-periodic evolution equations in Gelfand-Shilov classes
by: Silva, Fernando de Ávila, et al.
Published: (2024)

Dispersive estimates for wave and Schrödinger equations with a potential in non-trapping exterior domains
by: Duyckaerts, Thomas, et al.
Published: (2024)

Optimal $C^{1,α}$ regularity up to the boundary for fully nonlinear elliptic equations with double phase degeneracy
by: Bessa, Junior da Silva, et al.
Published: (2026)

Lipschitz regularity for Poisson equations involving measures supported on $C^{1,\operatorname{Dini}}$ interfaces
by: Erneta, Iñigo U., et al.
Published: (2024)

Maximal dissipation and shallow water flow -- the dam-break problem
by: Daw, Dalal, et al.
Published: (2025)

Characteristic initial value problem for nonlinear wave equation with singular initial data
by: Dai, Wei, et al.
Published: (2024)

Nonlocal equations with kernels of general order
by: Ok, Jihoon, et al.
Published: (2025)

The Cauchy problem for nonlinear dispersive models of long internal waves in the presence of the Coriolis force
by: Freire, Ricardo, et al.
Published: (2025)

$L^p-L^q$ estimates for solutions to the plate equation with mass term
by: Junior, Alexandre Arias, et al.
Published: (2024)

Second-order boundary estimates for solutions to a class of quasilinear elliptic equations
by: Spadaro, Giuseppe, et al.
Published: (2025)

Asymptotic profiles for the Cauchy problem of damped beam equation with two variable coefficients and derivative nonlinearity
by: Hamza, Mohamed Ali, et al.
Published: (2023)

Maximal $L_q$-regularity of nonlocal parabolic equations in higher order Bessel potential spaces
by: Roidos, Nikolaos, et al.
Published: (2021)

A nonlinear Calderón-Zygmund $ L^2$-theory for the Dirichlet problem involving $ -|Du|^γΔ^N_p u=f$
by: Miao, Qianyun, et al.
Published: (2024)

Global fractional Sobolev regularity for fully nonlinear elliptic equations
by: Alcantara, Claudemir, et al.
Published: (2024)

$L^p$-regularity for fourth order elliptic systems with antisymmetric potentials in higher dimensions
by: Guo, Chang-Yu, et al.
Published: (2021)

Lipschitz regularity for fully nonlinear elliptic equations with $(p,q)$-growth
by: Byun, Sun-Sig, et al.
Published: (2025)

Harnack inequality for mixed local-nonlocal weighted homogeneous equations
by: Biswas, Nirjan, et al.
Published: (2026)

Local bounds for nonlinear higher-order vector fields for the p-Laplace equation
by: Iandoli, Felice, et al.
Published: (2026)

Boundary estimates for non-divergence equations in $C^1$ domains
by: Torres-Latorre, Clara
Published: (2024)

Spatial decay and nonlinear smoothing of the generalized Ostrovsky equation
by: Yan, Xiangqian, et al.
Published: (2026)

Improvement of flatness for nonlocal free boundary problems
by: Ros-Oton, Xavier, et al.
Published: (2024)

Boundedness estimates for nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations
by: Anceschi, Francesca, et al.
Published: (2023)

Global Calderón-Zygmund estimates for asymptotically convex fully nonlinear Grad-Mercier type equations
by: Zhang, Yao, et al.
Published: (2025)

On hyperbolic approximations for a class of dispersive and diffusive-dispersive equations
by: Barthwal, Rahul, et al.
Published: (2025)

The obstacle problem for a higher order fractional Laplacian
by: Danielli, Donatella, et al.
Published: (2023)

On inverse scattering for the two-dimensional nonlinear Klein-Gordon equation
by: Sasaki, Hironobu
Published: (2024)

Uniqueness of the critical points of solutions to two kinds of semilinear elliptic equations in higher dimensional domains
by: Deng, Haiyun, et al.
Published: (2024)

The dispersion generalized Benjamin-Ono equation
by: Ai, Albert, et al.
Published: (2024)

On a gradient term for a class of second-order PDEs and applications to the infinity Laplace equation
by: de Oliveira, José Francisco
Published: (2025)

Existence of solutions for nonlinear elliptic PDEs with fractional Laplacians on open balls
by: Penent, Guillaume, et al.
Published: (2021)

Global second order optimal regularity for the vectorial $p$-Laplacian
by: Sciunzi, Berardino, et al.
Published: (2025)