A change of variable for Dahlberg-Kenig-Pipher operators
نویسندگان
چکیده
In the present article, we give a method to deal with Dahlberg-Kenig-Pipher (DPK) operators in boundary value problems on upper half plane. We nice subclass of weak DKP that generates full class under action bi-Lipschitz changes variable R + n \mathbb {R}^n_+ fix n minus 1"> − 1 {R}^{n-1} . Therefore, if one wants prove property which is stable by transformations, can directly assume operator belongs subclass. Our gives an alternative proof some past results and self-improves others beyond existing literature.
منابع مشابه
of Carlos Kenig
The classical unique continuation theorem, which originates in the work of Carleman, in its simplest form is the following: Proposition: Assume that ∆u = V u in {|x| < 10}, with |u| ≤ C 0 and ||V || L ∞ ≤ M. If |u(x)| ≤ C N |x| N , for all N ≥ 0, then u ≡ 0. In order to establish this Proposition, Carleman developed a method, the " method of Carleman estimates " , which still permeates the subj...
متن کاملinvestigating the feasibility of a proposed model for geometric design of deployable arch structures
deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...
some properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولThe Connections between Dirichlet, Regularity and Neumann Problems for Second Order Elliptic Operators with Complex Bounded Measurable Coefficients
The present paper discusses the relations between regularity, Dirichlet, and Neumann problems. Among other results, we prove that the solvability of the regularity problem does not imply the solvability of the dual Dirichlet problem for general elliptic operators with complex bounded measurable coefficients. This is strikingly different from the case of real operators, for which such an implica...
متن کاملa synchronic and diachronic approach to the change route of address terms in the two recent centuries of persian language
terms of address as an important linguistics items provide valuable information about the interlocutors, their relationship and their circumstances. this study was done to investigate the change route of persian address terms in the two recent centuries including three historical periods of qajar, pahlavi and after the islamic revolution. data were extracted from a corpus consisting 24 novels w...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2022
ISSN: ['2330-1511']
DOI: https://doi.org/10.1090/proc/15923