Results 31 to 40 of about 579 (168)
On Carleman and observability estimates for wave equations on time‐dependent domains
Proceedings of the London Mathematical Society, Volume 119, Issue 4, Page 998-1064, October 2019., 2019 Abstract We establish new Carleman estimates for the wave equation, which we then apply to derive novel observability inequalities for a general class of linear wave equations. The main features of these inequalities are that (a) they apply to a fully general class of time‐dependent domains, with timelike moving boundaries, (b) they apply to linear ...
Arick Shao
wiley +1 more source
On uniqueness of solutions to complex Monge–Ampère mean field equations
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3163-3180, October 2025.Abstract We establish the uniqueness of solutions to complex Monge–Ampère mean field equations when (minus) the temperature parameter is small. In the local setting of bounded hyperconvex domains, our result partially confirms a conjecture by Berman and Berndtsson. Our approach also extends to the global context of compact complex manifolds.
Chinh H. Lu, Trong‐Thuc Phung
wiley +1 more source
Solvability of the Gleason problem on a class of bounded pseudoconvex domains
, 2022 We show that if a bounded pseudoconvex domain satisfies the solvability of the bounded $\bar{\partial}$ problem, then the ideal of bounded holomorphic functions vanishing at a point in the domain is finitely generated.
Clos, Timothy G.
core +1 more source
Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains [PDF]
, 2018 We prove that for a strongly pseudoconvex domain D ⊂ C n , the infinitesimal Carath´eodory metric gC (z, v) and the infinitesimal Kobayashi metric gK(z, v) coincide if z is sufficiently close to bD and if v is sufficiently close to being tangential to bD.
Fornæss, John Erik +2 more
core +2 more sources
Dirac–Schrödinger operators, index theory and spectral flow
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract In this article, we study generalised Dirac–Schrödinger operators in arbitrary signatures (with or without gradings), providing a general KK$\textnormal {KK}$‐theoretic framework for the study of index pairings and spectral flow. We provide a general Callias Theorem, which shows that the index (or the spectral flow, or abstractly the K ...
Koen van den Dungen
wiley +1 more source
Necessary and Sufficient Conditions for Set‐Valued Maps with Set Optimization
Abstract and Applied Analysis, Volume 2018, Issue 1, 2018., 2018 Optimality conditions are studied for set‐valued maps with set optimization. Necessary conditions are given in terms of S‐derivative and contingent derivative. Sufficient conditions for the existence of solutions are shown for set‐valued maps under generalized quasiconvexity assumptions.
Abdessamad Oussarhan +2 more
wiley +1 more source
Lipschitz estimates on weakly pseudoconvex domains
, 2013 Given an arbitrary pseudoconvex domain D in C^n, in general, one cannot construct an integral kernel using holomorphic support functions. Here we consider an integral kernel, defined for weakly pseudoconvex domains, that while not holomorphic, does ...
Smitas, Daniel
core +1 more source
On a higher dimensional worm domain and its geometric properties
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We construct new three‐dimensional variants of the classical Diederich–Fornæss worm domain. We show that they are smoothly bounded, pseudoconvex, and have nontrivial Nebenhülle. We also show that their Bergman projections do not preserve the Sobolev space for sufficiently large Sobolev indices.
Steven G. Krantz +2 more
wiley +1 more source
Restriction of Toeplitz Operators on Their Reducing Subspaces
Journal of Function Spaces, Volume 2017, Issue 1, 2017., 2017 We study the restrictions of analytic Toeplitz operator on its minimal reducing subspaces for the unit disc and construct their models on slit domains. Furthermore, it is shown that Tzn is similar to the sum of n copies of the Bergman shift.
Anjian Xu, Yang Zou, Raúl E. Curto
wiley +1 more source
A small boundary for 𝐻^{∞} on a strictly pseudoconvex domain
, 1985 Let n ⩾ 2 n \geqslant 2 and D ⊂⊂ C n D \subset \subset {{\mathbf {C}}^n}
Antonella Cupillari
core +1 more source