Global existence and uniqueness of Schrödinger maps in dimensions \(d\geq 4\)
DOI10.1016/j.aim.2007.04.009zbMath1152.35049arXivmath/0607579OpenAlexW1990332153MaRDI QIDQ2381963
Ioan Bejenaru, Carlos E. Kenig, Alexandru D. Ionescu
Publication date: 26 September 2007
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0607579
Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Initial value problems for second-order parabolic equations (35K15) Nonlinear operators and their properties (47H99)
Related Items (35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Low-regularity Schrödinger maps.
- Local Schrödinger flow into Kähler manifolds
- On the continuous limit for a system of classical spins
- On the well-posedness of the wave map problem in high dimensions
- Existence and uniqueness of the solution to the modified Schrödinger map
- Low-regularity Schrödinger maps. II: Global well-posedness in dimensions \(d \geq 3\)
- On global existence and scattering for the wave maps equation
- On the regularity of spherically symmetric wave maps
- Global well-posedness of the Benjamin–Ono equation in low-regularity spaces
- An Approximation Scheme for Schrödinger Maps
- Local and global results for wave maps I
- Space‐time estimates for null forms and the local existence theorem
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Remark on the optimal regularity for equations of wave maps type
- Schrödinger maps
- Rough solutions for the wave maps equation
- On Schrödinger maps
- The Cauchy problem for the hyperbolic–elliptic Ishimori system and Schrödinger maps
- Global regularity of wave maps. II: Small energy in two dimensions
This page was built for publication: Global existence and uniqueness of Schrödinger maps in dimensions \(d\geq 4\)