Functional Analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations

Description

Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the theory of generalized analytic functions) for solving very general classes of partial differential equations. This book is aimed at promoting further interactions of functional analysis, partial differential equations, and complex analysis including its generalizations such as Clifford analysis. New interesting problems in the field of partial differential equations concern, for instance, the Dirichlet problem for hyperbolic equations. Applications to mathematical physics address mainly Maxwell's equations, crystal optics, dynamical problems for cusped bars, and conservation laws.

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1. Ebooks list page : 3509
2. Partial Differential Equations Vol. 2: Functional Analytic Methods
3. Differential and Integral Inequalities, Vol. 2: Functional Partial, Abstract and Complex Differential Equations
4. A First Course in Partial Differential Equations: with Complex Variables and Transform Methods (reupload)
5. Applications of Analytic and Geometric Methods to Nonlinear Differential Equations
6. Applications of Symmetry Methods to Partial Differential Equations
7. Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
8. Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
9. Partial Differential Equations V: Asymptotic Methods for Partial Differential Equations
10. Linear Differential Equations in the Complex Domain: Problems of Analytic Continuation
11. Partial Differential Equations and Complex Analysis
12. Partial Differential Equations and Complex Analysis
13. Partial Differential Equations and Complex Analysis
14. Partial Differential Equations in Several Complex Variables
15. Multiscale Wavelet Methods for Partial Differential Equations (Wavelet Analysis and Its Applications)
16. Partial Differential Equations III: The Cauchy Problem. Qualitative Theory of Partial Differential Equations