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|1967 (1969), 73-125) L.E. Evtushik AMS 1980 Subject Classification: 53B40, |
53C60, 53C15 KELDYSH-LAVRENT'EV EXAMPLE - An example of a simply-
connected domain A in the complex zplane bounded by a rectifiable Jordan
curve but ...
|Second Edition, Revised and Extended Lev Sakhnovich. Example 3.6.7. |
Consider the equation 1 1 2 2 Shf--> f(t) [ln a – t| ... It is easy to see that Corollary
3.6.10 remains valid for the Keldysh–Lavrent'ev equation (3.6.3), (3.6.5) for
|... 62M20, 93E11; 60G10, 60G35, 62M20, 93E11] (see: Stochastic processes, |
filtering Einstein— —; example Bebutov- .... Rudin-- Keisler ultrapower theorem [
03CXX; 03Cxx] (see: Model theory) Keldysh–Lavrent'ev example (30C35, 30D50
|Thus, we obtain from (14.5) that | *to doo-0 8 p || – 22n-2 for all 2 # 6D. Now |
applying the theorem of Keldysh-Lavrent'ev (see, for example, [127, p. 418) on
the density of fractions of the form 1/6 – 21” in the space of functions C(K) (where
|For example, the condition for her first example of a fourth-class set was the |
existence of infinitely many different partial quotients, each repeating infinitely
many times. ... Keldysh gave a description of the structure of an arbitrary B- set by
formulating the notion of canonical element A of a ... She showed that any two
canonical elements are homeomorphic for every class (by Lavrent'ev's theorem,
|It turns out that the classical theorems on holomorphic approximation of Walsh (|
307], Lavrent'ev , Keldysh (133] and Mergelyan  are ... Sometimes, this
is true even for s = p – n + 1, as, for example, for harmonic capacity c2(a) in R* (cf.
|l' fl Kazdan inequality ^ Й S ^ ^ A KdV( Korteweg -de Vries) equation KdV KdV( |
Korteweg-de Vries) hierarchy KdV ft KdV -like equation KdV *^/в Keisler-Shelah
isomorphism theorem Keldysh-Lavrent'ev example ЬАЫ) Keldysh-Lavrent'ev ...
|An example is the Lavrent'ev–Bitsadze equation , and Lu D sgnŒyuxx C uyy |
D 0; (2.5) for which the parabolic curve is the x-axis. An alternative approach is to
replace the class of differential operators L on a single domain of R2 with a ...
1970 - Snippet view
|M. V. Keldysh and M. A. Lavrent'ev  have constructed a remarkable example of |
a region with a rectifiable Jordan boundary which does not belong to S (see , p
. 229). New examples of this type are also given in [4J. Since the formulation of ...
|Iod K - A2n~2 Applying the theorem of Keldysh-Lavrent'ev (see, for example, [47, |
p. 418]) on the density of fractions of the form — T^z^ in tne space — Is — z\ C(dD
), we obtain that dnF = 0 on dD. □ Theorem 5.2 (Folland, Kohn ; Aronov, ...