(Ilmumisaeg: 17-Jan-2024, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811278532)
Spin/Pin-structures on vector bundles have long featured prominently in differential geometry, in particular providing part of the foundation for the original proof of the renowned Atiyah-Singer Index Theory. More recently, they have underpinned the...Loe edasi...
(Ilmumisaeg: 30-Nov-2023, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470474287)
Ricci flow is an exciting subject of mathematics with diverse applications in geometry, topology, and other fields. It employs a heat-type equation to smooth an initial Riemannian metric on a manifold. The formation of singularities in the manifol...Loe edasi...
Ricci flow is an exciting subject of mathematics with diverse applications in geometry, topology, and other fields. It employs a heat-type equation to smooth an initial Riemannian metric on a manifold. The formation of singularities in the manifol...Loe edasi...
Motivated by a problem of one mode approximation for a non-linear evolution with charge accumulation in potential wells, we consider a general linear adiabatic evolution problem for a semi-classical Schrodinger operator with a time dependent potenti...Loe edasi...
The central topic of this book is the spectral theory of bounded and unbounded self-adjoint operators on Hilbert spaces. After introducing the necessary prerequisites in measure theory and functional analysis, the exposition focuses on operator theo...Loe edasi...
(Ilmumisaeg: 27-Dec-2022, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811261688)
Hörmander operators are a class of linear second order partial differential operators with nonnegative characteristic form and smooth coefficients, which are usually degenerate elliptic-parabolic, but nevertheless hypoelliptic, that is highly regula...Loe edasi...
(Ilmumisaeg: 01-Nov-2022, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470466565)
The central topic of this book is the spectral theory of bounded and unbounded self-adjoint operators on Hilbert spaces. After introducing the necessary prerequisites in measure theory and functional analysis, the exposition focuses on operator theo...Loe edasi...
Discusses advances in maximal function methods related to Poincare and Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardys inequalities, and partial differential equations....Loe edasi...
Albin, Rochon, and Sher study the spectrum of the Hodge Laplacian with coefficients in a flat bundle on a closed manifold undergoing degeneration to a manifold with fibered cusps. They obtain precise asymptotics for the resolvent, the heat kernel...Loe edasi...
Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations aims to propose a unified approach to elliptic and parabolic equations with bounded and smooth coefficients. The book will highlight the connectio...Loe edasi...
Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, p...Loe edasi...
Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial di erential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis,...Loe edasi...
The contents of this book are dedicated to the theoretical aspect of Morrey spaces. In addition, applications to PDEs is provided. Some of the topics described include Bilinear estimates, Boundedness of pseudo-differential operators; Elliptic diff...Loe edasi...
The analysis and topology of elliptic operators on manifolds with singularities are much more complicated than in the smooth case and require completely new mathematical notions and theories. While there has recently been much progress in the field,...Loe edasi...
This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary. In this regard, every operator admits global projection boundary conditions, giving rise to...Loe edasi...
(Ilmumisaeg: 30-May-2018, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470442507)
Amenta and Auscher investigate the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the upper half-space with coefficients independent of the transversal variable and with boundary data in fractional...Loe edasi...
Exploring the maximal accretive realizations of geometric Kramers-Fokker-Planck operators on manifolds with boundaries, Nier introduces a general class of boundary conditions that ensures the maximal accretivity and some global sub-elliptic estim...Loe edasi...
Barton and Mayboroda address boundary-layer problems with boundary data in intermediate smoothness spaces, in particular Dirichlet and Neumann problems. They cover the history and nature of the problems; definitions; the main theorems; interpolation,...Loe edasi...
