Global existence of smooth solutions for wave maps in de Sitter spacetime

DOI10.1016/j.jmaa.2020.123966OpenAlexW3008734683MaRDI QIDQ2306226

Qiong Lou

Publication date: 20 March 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.123966

zbMATH Keywords

harmonic mapgeodesicde Sitter space-timewave map equations

Mathematics Subject Classification ID

Wave equation (35L05) Hyperbolic equations on manifolds (58J45)

Cites Work

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• The Cauchy problem for wave maps on a curved background
• Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems
• Compressible fluid flow and systems of conservation laws in several space variables
• On the formation of singularities in the critical \(O(3)\) \(\sigma \)-model
• Stabilizing effect of the power law inflation on isentropic relativistic fluids
• Classical solutions to relativistic Burgers equations in FLRW space-times
• Global existence of smooth solutions to exponential wave maps in FLRW spacetimes
• Renormalization and blow up for charge one equivariant critical wave maps
• The stabilizing effect of spacetime expansion on relativistic fluids with sharp results for the radiation equation of state
• On global existence and scattering for the wave maps equation
• Formation of singularities for equivariant (2+1)-dimensional wave maps into the 2-sphere
• Stability of Geodesic Wave Maps in Dimensions d >= 3
• BLOW-UP OF THE NONEQUIVARIANT ()-DIMENSIONAL WAVE MAP
• On the cauchy problem for harmonic maps defined on two-dimensional Minkowski space
• Weak solutions and development of singularities of the SU(2) σ‐model
• Local and global results for wave maps I
• Classical solution to relativistic Burger’s equation in SdS and SAdS space-times
• Global existence of harmonic maps in minkowski space
• Stability of traveling wave for the relativistic string equation in de Sitter spacetime
• Lifespan of smooth solutions for timelike extremal surface equation in de Sitter spacetime
• On the Global Solutions of the Higgs Boson Equation
• Stability of spherically symmetric wave maps
• The Large Scale Structure of Space-Time
• Global regularity of wave maps. II: Small energy in two dimensions

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