This book contains a collection of twelve papers that reflect the state of the art of nonlinear differential equations in modern geometrical theory. It comprises miscellaneous topics of the local and nonlocal geometry of differential equations and the applications of the corresponding methods in hydrodynamics, symplectic geometry, optimal investment theory, etc. The contents will be useful for all the readers whose professional interests are related to nonlinear PDEs and differential geometry, both in theoretical and applied aspects.
This book is not a textbook, but rather a coherent collection of papers from the field of partial differential equations.
This reference features papers from the Special Session of the American Mathematical Society Meeting held in 1990 at the University of North Texas, Denton - discussing and developing research on...
This book contains a collection of twelve papers that reflect the state of the art of nonlinear differential equations in modern geometrical theory.
;Geometric Analysis and Nonlinear Partial Differential Equations is for mathematical analysts, geometers, pure and applied mathematicians, physicists, engineers, computer scientists, and upper-level undergraduate and graduate students in ...
... Surveys in geometric analysis and relativity, Adv. Lect. Math. (ALM), vol. 20, Int. Press, Somerville, MA, 2011, pp. 1–27. MR2906919 [5] H. L. Bray and D. A. Lee, On the Riemannian Penrose inequality in dimensions less than eight, ...
Geometric Analysis, Mathematical Relativity, and Nonlinear Partial Differential Equations: Southeast Geometry Seminars : Emory University, Georgia Institute of Technology, University...
This book gathers twenty-two papers presented at the second NLAGA-BIRS Symposium, which was held at Cap Skirring and at the Assane Seck University in Ziguinchor, Senegal, on January 25–30, 2022.
In this book we systematically present a series of centrally significant results obtained in the second half of the twentieth century up to the present time.
This volume contains lecture notes on key topics in geometric analysis, a growing mathematical subject which uses analytical techniques, mostly of partial differential equations, to treat problems in differential geometry and mathematical ...
The majority of nonlinear evolution equations are nonintegrable, and so asymptotic, numerical perturbation and reduction techniques are often used to study such equations. This book also contains articles on perturbed soliton equations.