Explore
Spectral Geometry of Partial Differential Operators
0 Ungluers have
Faved this Work
Login to Fave
The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations. Historically, one of the first inequalities of the spectral geometry was the minimization problem of the first eigenvalue of the Dirichlet Laplacian. Nowadays, this type of inequalities of spectral geometry have expanded to many other cases with number of applications in physics and other sciences. The main reason why the results are useful, beyond the intrinsic interest of geometric extremum problems, is that they produce a priori bounds for spectral invariants of (partial differential) operators on arbitrary domains. Features: Collects the ideas underpinning the inequalities of the spectral geometry, in both self-adjoint and non-self-adjoint operator theory, in a way accessible by anyone with a basic level of understanding of linear differential operators Aimed at theoretical as well as applied mathematicians, from a wide range of scientific fields, including acoustics, astronomy, MEMS, and other physical sciences Provides a step-by-step guide to the techniques of non-self-adjoint partial differential operators, and for the applications of such methods. Provides a self-contained coverage of the traditional and modern theories of linear partial differential operators, and does not require a previous background in operator theory.
This book is included in DOAB.
Why read this book? Have your say.
You must be logged in to comment.
Rights Information
Are you the author or publisher of this work? If so, you can claim it as yours by registering as an Unglue.it rights holder.Downloads
This work has been downloaded 1 times via unglue.it ebook links.
- 1 - pdf (CC BY-NC-ND) at OAPEN Library.
Keywords
- Banach space
- bounded linear operators
- Cauchy sequence
- Dirichlet Laplacian
- Euler Poisson System
- Fredholm operators
- Generalised Derivative
- Hardy Littlewood Inequality
- Hilbert space
- Lebesgue integral
- linear differential operators
- Linear Normed Space
- Linear Space
- Nonnegative Measurable Functions
- partial differential operators
- Riesz' inequality
- Separable Infinite Dimensional Hilbert Space
- spectral geometry
- spectral invariants
- Symmetric Rearrangement
- thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKF Functional analysis and transforms
- thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations
- thema EDItEUR::P Mathematics and Science::PB Mathematics::PBT Probability and statistics
- thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics
- thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics
- Vlasov Poisson Equations
- Vlasov Poisson System
Links
DOI: 10.1201/9780429432965Editions