Cover Image

Nonlinear interpolation and the flow map for quasilinear equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Alazard, Thomas, Burq, Nicolas, Ifrim, Mihaela, Tataru, Daniel, Zuily, Claude
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs 35L72, 35L77
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Almost global well-posedness for quasilinear strongly coupled wave-Klein-Gordon systems in two space dimensions
by: Ifrim, Mihaela, et al.
Published: (2019)

Limiting behavior of quasilinear wave equations with fractional-type dissipation
by: Kaltenbacher, Barbara, et al.
Published: (2022)

Global solutions for 1D cubic dispersive equations, Part III: the quasilinear Schrödinger flow
by: Ifrim, Mihaela, et al.
Published: (2023)

Global solutions for cubic quasilinear Schroedinger flows in two and higher dimensions
by: Ifrim, Mihaela, et al.
Published: (2024)

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

Geometric analysis of 1+1 dimensional quasilinear wave equations
by: Abbrescia, Leonardo Enrique, et al.
Published: (2019)

A class of second-order geometric quasilinear hyperbolic PDEs and their application in imaging science
by: Dong, Guozhi, et al.
Published: (2019)

Global solutions for 1D cubic defocusing dispersive equations, Part IV: general dispersion relations
by: Ifrim, Mihaela, et al.
Published: (2024)

Mathematical models for nonlinear ultrasound contrast imaging with microbubbles
by: Nikolić, Vanja, et al.
Published: (2024)

Multiharmonic algorithms for contrast-enhanced ultrasound
by: Nikolić, Vanja, et al.
Published: (2025)

Measure and continuous vector field at a boundary I: propagation equations and wave observability
by: Burq, Nicolas, et al.
Published: (2024)

Global existence for initial-boundary value problems of one-dimension quasilinear wave equations with null conditions
by: Zha, Dongbing
Published: (2024)

Semilinear wave equations with time-dependent coefficients
by: Antonić, Nenad, et al.
Published: (2026)

Dynamics for the corotational energy-critical wave map equation with quantized blow-up rates
by: Li, Ze, et al.
Published: (2023)

Almost sure local well-posedness for a derivative nonlinear wave equation
by: Bringmann, Bjoern
Published: (2018)

Singular Klein-Gordon equation on a bounded domain
by: Ruzhansky, Michael, et al.
Published: (2025)

Direct and inverse problem for bi-wave equation with time-dependent coefficients from partial data
by: Bhattacharyya, Sombuddha, et al.
Published: (2025)

Scattering theory for subcritical wave equation with inverse square potential
by: Miao, Changxing, et al.
Published: (2020)

Numerical analysis of a time-stepping method for the Westervelt equation with time-fractional damping
by: Baker, Katherine, et al.
Published: (2022)

A first order in time wave equation modeling nonlinear acoustics
by: Kaltenbacher, Barbara, et al.
Published: (2024)

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

Dynamics of 3D focusing, energy-critical wave equation with radial data
by: Shen, Ruipeng
Published: (2025)

The Modified Energy Method for Quasilinear Wave Equations of Kirchhoff Type
by: Martinez, Ryan
Published: (2025)

$C^\infty$ well-posedness of higher order hyperbolic pseudo-differential equations with multiplicities
by: Garetto, Claudia, et al.
Published: (2024)

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

Global existence for wave and beam equations with double damping and a new power nonlinearity
by: Said, Khaldi, et al.
Published: (2024)

Generalized Solutions to Hyperbolic Systems with Nonlinear Conditions and Strongly Singular Data
by: Kmit, Irina
Published: (2005)

Finite element discretization of nonlinear models of ultrasound heating
by: Careaga, Julio, et al.
Published: (2025)

Asymptotic expansion for a class of second-order evolution equations in the energy space and its applications
by: Sobajima, Motohiro
Published: (2024)

Combined DG-CG finite element method for the Westervelt equation
by: Gómez, Sergio, et al.
Published: (2024)

Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups
by: Bhardwaj, Arun Kumar, et al.
Published: (2022)

Frequency-dependent damping in the linear wave equation
by: Maddalena, Francesco, et al.
Published: (2025)

Classification of radial solutions of energy-critical wave systems
by: Duyckaerts, Thomas, et al.
Published: (2025)

Formation of singularities for the relativistic membrane equation with radial symmetry
by: Cai, Lv, et al.
Published: (2025)

Intrinsic phenomena of delta shock waves in a more realistic Chaplygin Aw-Rascle model
by: Priyanka, et al.
Published: (2024)

Polychromatic Localized Waves with Complex Frequencies in Nonlinear Maxwell Equations with Material Dispersion
by: Dohnal, Tomas, et al.
Published: (2025)

Shock interactions for the Burgers-Hilbert Equation
by: Bressan, Alberto, et al.
Published: (2022)

Well-posedness of the time-periodic Jordan-Moore-Gibson-Thompson equation
by: Kaltenbacher, Barbara
Published: (2024)

Resonance effects for linear wave equations with scale invariant oscillating damping
by: Ghisi, Marina, et al.
Published: (2023)

Energy decay of nonlocal viscoelastic equations with nonlinear damping and polynomial nonlinearity
by: Peng, Qingqing, et al.
Published: (2025)