It is a well-known and elementary fact in complex analysis that a bounded and [[Holomorphic function|holomorphic function]] on the who
...al differential geometry, involving geometric measure theory and nonlinear analysis (cf. also [[Plateau problem|Plateau problem]]).
10 KB (1,518 words) - 21:22, 14 January 2021
...tems and algebraic curves" M. Grmela (ed.) J.E. Marsden (ed.) , ''Global analysis'' , ''Lect. notes in math.'' , '''755''' , Springer (1979) pp. 83–200</
5 KB (759 words) - 22:10, 5 June 2020
...gular solutions of these boundary value problems. Profound applications to global problems of classical differential geometry were done on the basis of these
...nsional hyperbolic Monge–Ampère equations. The solution of a few important global problems for saddle surfaces was obtained as an application of these result
17 KB (2,601 words) - 08:01, 6 June 2020
of) the derived functors of the global section functor $ F \mapsto F( 1) $(
...TD valign="top"> I. Moerdijk, G.E. Reyes, "Models for smooth infinitesimal analysis" , Springer (1990) {{MR|1083355}} {{ZBL|0715.18001}} </TD></TR><TR><TD vali
8 KB (1,216 words) - 18:08, 14 November 2023
...zation of formal moduli, I" D.C. Spencer (ed.) S. Iyanaga (ed.) , ''Global analysis (papers in honor of K. Kodaira)'' , Princeton Univ. Press (1969) pp. 21–7
6 KB (837 words) - 07:19, 14 November 2023
is generated by two elements. The global [[Homological dimension|homological dimension]] of $ A _ {n} ( K) $
...ces|[a8]]] for a survey of this. The result (a1) was proved by micro-local analysis in [[#References|[a40]]]. An algebraic proof was found later in [[#Referenc
28 KB (4,182 words) - 19:30, 19 January 2024
...ties. This structure/non-structure dichotomy is known as the main gap. The analysis discussed so far (1990) suffices to establish (Shelah, late 1970's) the Mor
...type. B.I. Zil'ber initiated the use of this geometric structure to obtain global information about the models of $ T $.
11 KB (1,671 words) - 11:38, 22 December 2019
...ctions on an open set $\Omega \subset D ^ { n }$ can be represented by the global cohomology group $H _ { \Omega } ^ { n } ( U , \widetilde { \mathcal O } )$
...ordinary hyperfunctions. The case $K = D ^ { n }$ corresponds to that for global Fourier hyperfunctions, given at the beginning.
26 KB (3,903 words) - 17:01, 1 July 2020
It can perform a bifurcation analysis of (a1). It can compute branches of stable and unstable periodic orbits and
...al systems equations. Several other packages, notably Global Manifolds 1D, Global Manifolds 2D, GAIO and BOV-method compute invariant manifolds. See [[#Refer
13 KB (1,928 words) - 17:00, 1 July 2020
...><TR><TD valign="top">[16]</TD> <TD valign="top"> D. Neumann, T. O'Brien, "Global structure of continuous flows on 2-manifolds" ''J. Diff. Eq.'' , '''22''' :
10 KB (1,474 words) - 20:08, 12 January 2024
...e that as suggested by the presence of chaotic solutions and by a Painlevé analysis [[#References|[a7]]] (cf. also [[Painlevé test|Painlevé test]]), the Kura
...inertial manifold, which exponentially absorbs solutions and contains the global attractor [[#References|[a10]]], [[#References|[a4]]]. On restricting the p
21 KB (3,050 words) - 17:43, 1 July 2020
...eddies symmetrically staggered, as in Fig.a1. However, a linear stability analysis with respect to small disturbances shows that the first configuration is al
...], the velocity induced on each vortex by all the others, and the eventual global displacement velocity of the sheets using the complex potential formulation
19 KB (3,002 words) - 17:46, 1 July 2020
...ximation of local solutions to the homogeneous equation $P ( D ) u = 0$ by global solutions. The space of solutions to a linear homogeneous ordinary differen
.../tr><tr><td valign="top">[a6]</td> <td valign="top"> L. Hörmander, "The analysis of linear partial differential operators II" , ''Grundl. Math. Wissenschaft
8 KB (1,264 words) - 05:21, 19 March 2022
...ization of formal moduli I" D.C. Spencer (ed.) S. Iyanaga (ed.) , ''Global analysis (papers in honor of K. Kodaira)'' , Univ. Tokyo Press (1969) pp. 21–72 {{
7 KB (1,008 words) - 07:42, 20 March 2024
...e [[#References|[a5]]], [[#References|[a11]]] for examples and references. Global analyses of these equations are merely of mathematical interest because the
...="top">[a4]</TD> <TD valign="top"> P.G. Ciarlet, V. Lods, "Asymptotic analysis of linearly elastic shells I. Justification of membrane shell equations" '
8 KB (1,209 words) - 08:28, 6 June 2020
...utation of the input data is equally likely. For biased distributions, the analysis becomes significantly more complicated, and for arbitrary distributions the
...e behaviour is not identical to the worst-case behaviour — an average-case analysis makes sense. A precise complexity estimation has been given for many Boolea
21 KB (3,198 words) - 18:47, 11 December 2020
...1–56</TD></TR><TR><TD valign="top">[a15b]</TD> <TD valign="top"> D. Rand, "
Global phase space universality, smooth conjugacies and renormalisation: the <img
12 KB (1,685 words) - 08:27, 6 June 2020
...fand, N.Ya. Vilenkin, "Generalized functions. Applications of harmonic analysis" , '''4''' , Acad. Press (1968) (Translated from Russian)</TD></TR><TR><T
...top"> S. Albeverio, R. Høegh-Krohn, B. Zegarlinski, "Uniqueness and global Markov property for Euclidean fields: the case of general polynomial intera
7 KB (970 words) - 08:09, 6 June 2020
...\Gamma \backslash X ) , \widetilde { M } )$ and what is the image of the "global" cohomology $H ^ { \bullet } ( \Gamma \backslash X , \tilde { \mathcal{M}
giving a global class. The only difficulty is that this sum need not converge. Hence the fo
12 KB (1,817 words) - 15:30, 1 July 2020
is generated by global sections; for any analytic sheaf $ {\mathcal F} $
...><TD valign="top">[1]</TD> <TD valign="top"> R.O. Wells jr., "Differential analysis on complex manifolds" , Springer (1980) {{MR|0608414}} {{ZBL|0435.32004}} <
7 KB (1,004 words) - 08:07, 6 June 2020