David S. Tartakoff
Nonelliptic Partial Differential Equations
Analytic Hypoellipticity and the Courage to Localize High Powers of T
Gebonden Engels 2011 2011e druk 9781441998125Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9781441998125
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:203
Uitgever:Springer New York
Druk:2011
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Inhoudsopgave
<p>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.</p>
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