TY  - BOOK
AU  - Ao,Weiwei
AU  - Lin,Chang-Shou
AU  - Wei,Juncheng
TI  - On Non-Topological Solutions of the 
T2  - Memoirs of the American Mathematical Society Series
SN  - 9781470427474
AV  - QC174.45 .A727 2015 
U1  - 516.3/6 
PY  - 2016///
CY  - Providence
PB  - American Mathematical Society
KW  - Quantum field theory-Mathematics
KW  - Lie groups
KW  - Topological algebras
KW  - Electronic books
N1  - Cover -- Title page -- Chapter 1. Introduction -- 1.1. Background -- 1.2. Previous results -- 1.3. Main results -- 1.4. Sketch of the proof for the case  ₂ -- 1.5. Sketch of the proof for  ₂ case -- 1.6. Organization of the paper -- Chapter 2. Proof of Theorem 1.1 in the  ₂ case -- 2.1. Functional formulation of the problem -- 2.2. First approximate solution -- 2.3. Invertibility of linearized operator -- 2.4. Improvements of the approximate solution:  (\ve) term -- 2.5. Next improvement of the approximate solution:  (\ve²) term -- 2.6. A nonlinear projected problem -- 2.7. Proof of Theorem 1.1 for  ₂ under Assumption (i) -- 2.8. Proof of Theorem 1.1 for  ₂ under Assumption (ii) -- 2.9. Proof of Theorem 1.1 for  ₂ under Assumption (iii) -- Chapter 3. Proof of Theorem 1.1 in the  ₂ case -- 3.1. Functional formulation of the problem for  ₂ case -- 3.2. Classification and non-degeneracy for  ₂ Toda system -- 3.3. Invertibility of the linearized operator -- 3.4. Improvements of the approximate solution -- 3.5. Proof of Theorem 1.1 for  ₂ under Assumption (i) -- 3.6. Proof of Theorem 1.1 for  ₂ under Assumption (ii) -- 3.7. Proof of Theorem 1.1 for  ₂ under Assumption (iii) -- Chapter 4. Appendix -- 4.1. Classification and non-degeneracy of  ₂ Toda system  with singular sources -- 4.2. The calculations of the matrix  ₁ -- 4.3. The calculations of the matrix  ₁ -- Bibliography -- Back Cover
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ER  -