This text grew up from lecturcs givcn at he t University of Rennes I during the academic year 1988-1989. The main topics covered arc second microlocalization along a agrangian l manifold, defined by Sjostrand in [Sj], and its application to the study of conormal sin- gularities for solutions of semilinear hyperbolic partial differential equations, developed by Lebeau [L4]. To give a quite self-contained treatment of these questions, we induded some de- velopments about FBI transformations and subanalytic geometry. The text ...
Read More
This text grew up from lecturcs givcn at he t University of Rennes I during the academic year 1988-1989. The main topics covered arc second microlocalization along a agrangian l manifold, defined by Sjostrand in [Sj], and its application to the study of conormal sin- gularities for solutions of semilinear hyperbolic partial differential equations, developed by Lebeau [L4]. To give a quite self-contained treatment of these questions, we induded some de- velopments about FBI transformations and subanalytic geometry. The text is made oi four chapters. In he t first one, we define the Fourier-Bros-Ingolnitzer transionnation and study its main properties. The second chapter deals with second microlocalization along a lagrangian submanifold, and with upper bounds for the wave front set of traces one may obtain using it. The third chapter is devoted to formulas giving geometric upper bounds for the analytic wave front set and for the ser, ond mic: rosllpport of boundary values of ramified functions. Lastly, the fourth chapter applies the preceding methods to the derivation of theorems about the location of microlocal singularities of solutions of scmilinear wave equations with conormw data, in general geometrical situation. Every chapter begins with a short abstract of its contents, where are collected the bibliograph- ical references. Let me now thank all those who made this writing possible. First of all, Gilles Lebeau, from whom I learnt mcrol i ocal analysis, especially through lectures he gave with Yves Laurent at Ecole Normale Superieure in 1982-1983.
Read Less
Add this copy of Second Microlocalization and Semilinear Caustics to cart. $24.00, good condition, Sold by Row by Row Bookshop rated 5.0 out of 5 stars, ships from Sugar Grove, NC, UNITED STATES, published 1992 by Springer-Verlag.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Good. No Dust Jacket. An ex-library copy in laminated yellow paper covers, with the usual ex-libris markings. the binding is sound and the text is clean.
Add this copy of F.B.I. Transformation: Second Microlocalization and to cart. $37.56, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 1992 by Springer.
Add this copy of F.B.I. Transformation: Second Microlocalization and to cart. $42.00, new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 1992 by Springer.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Trade paperback (US). Glued binding. 102 p. Lecture Notes in Mathematics, 1522. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
