On Non-Topological Solutions of the
Ao, Weiwei.
On Non-Topological Solutions of the - 1st ed. - 1 online resource (100 pages) - Memoirs of the American Mathematical Society Series ; v.239 . - Memoirs of the American Mathematical Society Series .
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.
Click here to view the abstract.
9781470427474
Quantum field theory-Mathematics.
Lie groups.
Topological algebras.
Electronic books.
QC174.45 .A727 2015
516.3/6
On Non-Topological Solutions of the - 1st ed. - 1 online resource (100 pages) - Memoirs of the American Mathematical Society Series ; v.239 . - Memoirs of the American Mathematical Society Series .
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.
Click here to view the abstract.
9781470427474
Quantum field theory-Mathematics.
Lie groups.
Topological algebras.
Electronic books.
QC174.45 .A727 2015
516.3/6