Cover Image

The Cauchy Problem for Symmetric Hyperbolic Systems with Nonlocal Potentials

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Finster, Felix, Murro, Simone, Schmid, Gabriel
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs Mathematical Physics Differential Geometry Primary: 35L03, 58J45, Secondary: 35Q61, 35Q41
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The Quantization of Maxwell Theory in the Cauchy Radiation Gauge: Hodge Decomposition and Hadamard States
by: Murro, Simone, et al.
Published: (2024)

On the Cauchy problem for the Fadaray tensor on globally hyperbolic manifolds with timelike boundary
by: Drago, Nicoló, et al.
Published: (2023)

Improved error bounds for approximations of high-frequency wave propagation in nonlinear dispersive media
by: Baumstark, Julian, et al.
Published: (2024)

Global well-posedness and scattering for the massive Dirac-Klein-Gordon system in two dimensions
by: Bejenaru, Ioan, et al.
Published: (2025)

Optimizers in Sobolev-curl inequalities
by: Mederski, Jarosław, et al.
Published: (2025)

Well-posedness for the NLS hierarchy
by: Adams, Joseph
Published: (2024)

Well-posedness for the dNLS hierarchy
by: Adams, Joseph
Published: (2025)

Global dynamics above the ground state for the energy-critical Hartree equation with radial data
by: Li, Xuemei, et al.
Published: (2025)

Exponential Stability for Maxwell-type Systems Revisited
by: Waurick, Marcus
Published: (2026)

Finite-energy solutions to Einstein-scalar field Lichnerowicz equations on complete Riemannian manifolds
by: Bieganowski, Bartosz, et al.
Published: (2026)

Exponential decay of the linear Maxwell system due to conductivity near the boundary
by: Nutt, Richard, et al.
Published: (2026)

Normal trace inequalities and decay of solutions to the nonlinear Maxwell system with absorbing boundary
by: Nutt, Richard, et al.
Published: (2026)

On the Well-posedness of Magnetic Schrödinger Equations with Unbounded Potentials
by: Frey, Dorothee, et al.
Published: (2026)

Pseudo-magnetic Fields and Effective Dynamics in Strained Honeycomb Structures
by: Zhang, Chengyu, et al.
Published: (2025)

The Maxwell-Klein-Gordon equation with scattering data
by: Dai, Wei, et al.
Published: (2023)

The Cauchy problem of the Lorentzian Dirac operator with APS boundary conditions
by: Drago, Nicolò, et al.
Published: (2021)

Scattering for the Klein-Gordon-Schrödinger system in three dimensions with radial data
by: Borges, Vitor, et al.
Published: (2026)

Nonlocal-to-local convergence rates for strong solutions to a Navier-Stokes-Cahn-Hilliard system with singular potential
by: Hurm, Christoph, et al.
Published: (2024)

Nonlocal $H$-convergence for topologically nontrivial domains
by: Waurick, Marcus
Published: (2022)

A Lorentzian Equivariant Index Theorem
by: Islam, Onirban, et al.
Published: (2026)

Euler-flocking system with nonlocal dissipation in 1D: periodic entropy solutions
by: Amadori, D., et al.
Published: (2024)

Dispersive estimates for Schrödinger's and wave equations on Riemannian manifolds
by: Beceanu, Marius
Published: (2025)

Scattering and localized states for defocusing nonlinear Schrödinger equations with potential
by: Soffer, Avy, et al.
Published: (2024)

Traveling wave solutions to a general incompressible Navier-Stokes-Fourier system with free boundary
by: Choi, Jae Ho, et al.
Published: (2026)

Strichartz estimates for a class of Schrödinger equations with a drift
by: Buseghin, Federico, et al.
Published: (2025)

Counterexamples to Strichartz estimates and gallery waves for the irrotational compressible Euler equation in a vacuum setting
by: Avadanei, Ovidiu-Neculai
Published: (2025)

The 3D Euler equations with inflow, outflow and vorticity boundary conditions
by: Gie, Gung-Min, et al.
Published: (2022)

On a damped nonlinear beam equation
by: Raske, David
Published: (2021)

Probabilistic Strichartz estimates in Schatten classes and their applications to the Hartree equation
by: Hadama, Sonae, et al.
Published: (2023)

Localizing acoustic and electromagnetic waves in space and time
by: Griesmaier, Roland, et al.
Published: (2026)

Analytical Solutions of 3D Maxwell's Equations via Infinite-Order Curl-Operator Expansions
by: Ge, David Wei
Published: (2026)

Hyperbolic Monge-Ampère Equation on a Cylinder: Well-Posedness and Stability
by: Deliyianni, Maria, et al.
Published: (2025)

On well-posedness of a mildly dissipative family of active scalar equations in borderline Sobolev spaces
by: Kumar, Anuj, et al.
Published: (2023)

Plateau's problem via the Allen--Cahn functional
by: Guaraco, Marco A. M., et al.
Published: (2023)

The Incompressible Limit of the Equations of Compressible Ideal Magneto-Hydrodynamics with perfectly conducting boundary
by: Secchi, Paolo
Published: (2024)

A conditional Lagrangian clock barrier at the $C^{1,\frac{1}{3}}$ threshold for axisymmetric Euler without swirl
by: Avadanei, Ovidiu-Neculai
Published: (2026)

On stable solutions to the Allen-Cahn equation with bounded energy density in $\mathbb{R}^4$
by: Florit-Simon, Enric, et al.
Published: (2025)

A Strict Comparison Principle for Integro-Differential Hamilton-Jacobi-Bellman Equations on Domains with Boundary
by: Della Corte, Serena, et al.
Published: (2025)

Free-surface Euler equations with density variations, and shallow-water limit
by: Fradin, Théo
Published: (2025)

Well-posedness and long-term behaviour for a troposphere wave propagation model
by: Holst, Paul, et al.
Published: (2024)