By Takashi Aoki, Hideyuki Majima, Yoshitsugu Takei, Nobuyuki Tose (eds.)

ISBN-10: 443173239X

ISBN-13: 9784431732396

ISBN-10: 4431732403

ISBN-13: 9784431732402

This quantity includes 23 articles on algebraic research of differential equations and comparable subject matters, such a lot of that have been provided as papers on the foreign convention "Algebraic research of Differential Equations – from Microlocal research to Exponential Asymptotics" at Kyoto collage in 2005.

Microlocal research and exponential asymptotics are in detail hooked up and supply robust instruments which have been utilized to linear and non-linear differential equations in addition to many similar fields reminiscent of actual and complicated research, critical transforms, spectral conception, inverse difficulties, integrable structures, and mathematical physics. The articles contained the following current many new effects and concepts.

This quantity is devoted to Professor Takahiro Kawai, who's one of many creators of microlocal research and who brought the means of microlocal research into exponential asymptotics. This commitment is made at the social gathering of Professor Kawai's sixtieth birthday as a token of deep appreciation of the real contributions he has made to the sector. Introductory notes at the medical works of Professor Kawai also are included.

Show description

Read or Download Algebraic Analysis of Differential Equations: from Microlocal Analysis to Exponential Asymptotics Festschrift in Honor of Takahiro Kawai PDF

Best analysis books

Get Dynamic Thermal Analysis of Machines in Running State PDF

With the expanding complexity and dynamism in today’s desktop layout and improvement, extra exact, powerful and functional ways and platforms are had to help computer layout. present layout equipment deal with the specified desktop as stationery. research and simulation are often played on the part point.

New PDF release: Analysis of the New Metals. Titanium, Zirconium, Hafnium,

Publication by means of Elwell, W T wooden, D F

Read e-book online Sunspot Magnetic Fields for the I.G.Y.. With Analysis and PDF

Annals of the overseas Geophysical yr, quantity 23: Sunspot Magnetic Fields for the I. G. Y. offers geophysical information research and day-by-day maps for remark of sunspot magnetic fields job. the information and maps are ready on the Crimean Astrophysical Observatory. This ebook particularly provides of strengths and polarities of the magnetic fields of sunspots saw via six observatories in the course of the IGY.

Extensions of Positive Definite Functions: Applications and - download pdf or read online

This monograph bargains with the math of extending given partial data-sets received from experiments; Experimentalists often assemble spectral information while the saw facts is proscribed, e. g. , by means of the precision of tools; or by means of different restricting exterior components. the following the constrained info is a restrict, and the extensions take the shape of complete confident convinced functionality on a few prescribed staff.

Additional resources for Algebraic Analysis of Differential Equations: from Microlocal Analysis to Exponential Asymptotics Festschrift in Honor of Takahiro Kawai

Example text

It is clear that the sequence F0 , . . , F2m is a regular sequence in C[u0 , . . , u2m ] for every fixed t. Hence (N Y )02m has a finite number of solutions for every fixed t. Under suitable generic condition, the number is 22m and the number of ramification points of solutions over t is 2m22m . These will be proved in our forthcoming paper. Remark 2. Of course we can consider (N Y )02m+1 for (N Y )2m+1 . The sequence of polynomials corresponding to (N Y )02m+1 is, however, not a regular sequence in C[u0 , .

Fl is a regular sequence at x0 . 2. For each k = 0, 1, . . , l, the dimension of V (x0 , f0 , . . , fk ) is equal to n − k − 1. 3. The dimension of V (x0 , f0 , . . , fl ) is n − l − 1. Thus, at least locally, the notion of regular sequences does not depend on the ordering of fj ’s. Definition 2. Let f0 , f1 , . . , fl be elements in Ox0 . The sequence f0 , f1 , . . , fl is said to be a tame regular sequence at x0 if for any integer k so that 0 ≤ k ≤ l and for any (k + 1) choice fl0 , fl1 , .

Langman and A. B. Olde Daalhuis: On the higher-order Stokes phenomenon, Proc. R. Soc. Lond. A, 460 (2004), 2285-2303. T. Kawai, T. Koike, Y. Nishikawa and Y. Takei: On the Stokes geometry of higher order Painlev´e equations, Ast´erisque, No. 297, 2004, pp. 117166. T. Kawai and Y. Takei: Algebraic Analysis of Singular Perturbation Theory, Iwanami, Tokyo, 1998. (In Japanese; English translation, AMS, 2005) (1) M. Yamada: Higher order Painlev´e Equations of type Al , Funkcial. , 48 (1998), 483-503.

Download PDF sample

Algebraic Analysis of Differential Equations: from Microlocal Analysis to Exponential Asymptotics Festschrift in Honor of Takahiro Kawai by Takashi Aoki, Hideyuki Majima, Yoshitsugu Takei, Nobuyuki Tose (eds.)

by Kenneth

Rated 4.61 of 5 – based on 17 votes