Partial Differential Equations: Mark Vishik's Seminar, Volume 206Mark Vishik's Partial Differential Equations seminar held at Moscow State University was one of the world's leading seminars in PDEs for over 40 years. This book celebrates Vishik's eightieth birthday. It comprises new results and survey papers written by many renowned specialists who actively participated over the years in Vishik's seminars. Contributions include original developments and methods in PDEs and related fields, such as mathematical physics, tomography, and symplectic geometry. Papers discuss linear and nonlinear equations, particularly linear elliptic problems in angles and general unbounded domains, linear elliptic problems with a parameter for mixed order systems, infinite-dimensional Schrodinger equations, Navier-Stokes equations, and nonlinear Maxwell equations. The book ends on a historical note with a paper about Vishik's seminar as a whole and a list of selected talks given from 1964 through 1989. The book is suitable for graduate students and researchers in pure and applied mathematics and mathematical physics. |
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Contents
Elliptic Boundary Value Problems with Large Parameter for Mixed Order | 29 |
Feynman Integral for Functional Schrödinger Equations | 65 |
On Normal Darboux Coordinates | 81 |
Real Process Corresponding to the 3D NavierStokes System and | 95 |
A Method of Complex Characteristics for Elliptic Problems in Angles | 125 |
On Exponential Convergence to a Stationary Measure for Nonlinear PDEs | 161 |
Impedance Tomography Inverse Scattering and Phase Space Analysis | 177 |
Normal Solvability and Properness of Elliptic Problems | 193 |
Mark Vishiks Seminar at Moscow State University | 239 |
List of Selected Talks at M I Vishiks Seminar in Moscow | 255 |
Common terms and phrases
algebraic analysis analytic angle apply arbitrary assume asymptotics Banach spaces belongs boundary conditions boundary value problems bounded called Cauchy closed coefficients complex condition consider constant construction continuous convergence coordinates corresponding defined definition Denote depend derivatives differential equations domain Editor elliptic elliptic operators English equal equations estimate exists extension fields formula Fourier transform function given gives Hence holds implies inequality integral introduce joint Lemma limiting linear manifold March Math Mathematical matrix means measure method Moscow Navier-Stokes nonlinear norm normal Note obtain October operator origin parameter partial polynomials proof properties prove pseudodifferential operators quantum mechanics relation REMARK respect satisfies seminar sequence side singular smooth solution solvability spectral stabilization sufficiently Suppose symbol talks Theorem theory transl unique variables vector Vishik waves zero
Bibliographic information
| Title | Partial Differential Equations: Mark Vishik's Seminar, Volume 206 Volume 51 of Advances in the mathematical sciences American Mathematical Society translations, Translations, ISSN 0065-9290 Partial Differential Equations: Mark Vishik's Seminar, Mikhail Aleksandrovich Shubin Translations - American Mathematical Society, American Mathematical Society, ISSN 0065-9290 |
| Author | M. S. Agranovich |
| Editors | M. I. Vishik, M. S. Agranovich |
| Edition | illustrated |
| Publisher | American Mathematical Soc., 2002 |
| ISBN | 0821833030, 9780821833032 |
| Length | 278 pages |
| Subjects | › Mathematics / Reference |
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