This book provides a very readable description of a technique, developed by the author years ago but as current as ever, for proving that solutions to certain (non-elliptic) partial differential equations only have real analytic solutions when the data are real analytic (locally). The technique is completely elementary but relies on a construction, a kind of a non-commutative power series, to localize the analysis of high powers of derivatives in the so-called bad direction. It is hoped that this work will permit a far greater audience of researchers to come to a deep understanding of this technique and its power and flexibility.
Innehållsförteckning
1. What this book is and is not.- 2. Brief Introduction.- 3.Overview of Proofs.- 4. Full Proof for the Heisenberg Group.- 5. Coefficients.- 6. Pseudo-differential Problems.- 7. Sums of Squares and Real Vector Fields.- 8. /bar{/partial}-Neumann and the Boundary Laplacian.- 9. Symmetric Degeneracies.- 10. Details of the Previous Chapter. -11. Non-symplectic Strategem ahe.- 12. Operators of Kohn Type Which Lose Derivatives.- 13. Non-linear Problems.- 14. Treves’ Approach.- 15. Appendix.- Bibliography.
Språk Engelska ● Formatera PDF ● Sidor 203 ● ISBN 9781441998132 ● Filstorlek 1.8 MB ● Utgivare Springer New York ● Stad NY ● Land US ● Publicerad 2011 ● Nedladdningsbara 24 månader ● Valuta EUR ● ID 4627656 ● Kopieringsskydd Social DRM