Wave maps on \((1+2)\)-dimensional curved spacetimes

DOI10.2140/apde.2021.14.985zbMath1475.35196arXiv1810.05632OpenAlexW3179685132MaRDI QIDQ2236629

Casey Jao, Cristian Gavrus, Daniel Tataru

Publication date: 25 October 2021

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.05632

zbMATH Keywords

wave packetsLipschitz continuous dependence on initial data.low regularity setting

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Second-order quasilinear hyperbolic equations (35L72) PDEs on manifolds (35R01)

Related Items (1)

On global dynamics of Schrödinger map flows on hyperbolic planes near harmonic maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hitchhiker's guide to the fractional Sobolev spaces
• Concentration compactness for critical wave maps
• On the division problem for the wave maps equation
• The Cauchy problem for wave maps on a curved background
• Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces
• Sharp local well-posedness results for the nonlinear wave equation
• A remark on an equation of wave maps type with variable coefficients
• Energy dispersed large data wave maps in \(2+1\) dimensions
• Regularity of wave-maps in dimension \(2+1\)
• A parametrix construction for wave equations with \(C^{1,1}\) coefficients
• Asymptotic stability of harmonic maps between 2D hyperbolic spaces under the wave map equation. II: Small energy case
• A physical space approach to wave equation bilinear estimates
• On the well-posedness of the wave map problem in high dimensions
• Global regularity of wave maps from \(\mathbb{R}^{2+1}\) to \(H^{2}\). Small energy
• Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients, II
• On global existence and scattering for the wave maps equation
• Null form estimates for ( 1/2,1/2 ) symbols and local existence for a quasilinear Dirichlet-wave equation
• Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients III
• Gradient NLW on Curved Background in 4+1 Dimensions
• Wave packets and fourier integral operators
• On local existence for nonlinear wave equations satisfying variable coefficient null conditions
• Bilinear space-time estimates for homogeneous wave equations
• The Cauchy Problem for Wave Maps on Hyperbolic Space in Dimensions $d\geq 4$
• Rough solutions for the wave maps equation
• Counterexamples to Local Existence for Semi-Linear Wave Equations
• TheX^s_θspaces and unique continuation for solutions to the semilinear wave equation
• Newton polygons as lattice points
• Dispersive Estimates for Wave Equations
• A Phase Space Transform Adapted to the Wave Equation
• Global regularity of wave maps. II: Small energy in two dimensions

This page was built for publication: Wave maps on \((1+2)\)-dimensional curved spacetimes