Hyperbolic algebraic varieties and holomorphic differential equations

... element A function p satisfying (1) and (2) is sometimes called a Minkowski functional H Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, DOI 10.1007/978-0-387-70914-7_1, ... Pick any x0 ∈ ω and r0 > such that B(x0 , r0 ) ⊂ ω Then, choose x1 ∈ B(x0 , r0 ) ∩ O1 and r1 > such that H Brezis, Functional Analysis, Sobolev Spaces and Pa...

Ngày tải lên: 04/02/2014, 11:10

... 1.8 and 3.5 and Chapter gives a very applied flavor Chapter reviews solution techniques and theory of ordinary differential equations and boundary value problems Equilibrium forms of the heat and ... CHAPTER Ordinary Differential Equations 0.1 0.2 0.3 0.4 0.5 CHAPTER Homogeneous Linear Equations Nonhomogeneous Linear Equations 14 Boundary Value Problems 26 Singula...

Ngày tải lên: 17/02/2014, 14:20

... Theory and applications of statistical solutions of the Navier–Stokes equations R Rosa 228 vii Preface This volume is the result of a workshop, Partial Differential Equations and Fluid Mechanics , ... autonomous Navier– Stokes equations In Doering & Wang (1998), the domain of the flow is Published in Partial Differential Equations and Fluid Mechanics, edited by James C Rob...

Ngày tải lên: 14/03/2014, 10:20

... [W] ✷ Lemma (i) E is locally strictly convex in (S, V ) (ii) F is locally strictly concave in T , locally strictly convex in V (iii) H is locally strictly concave in P , locally strictly convex ... differential form of Harnack’s inequality Clausius inequality a Cycles b Heating c Almost reversible cycles V Conservation laws and kinetic equations A Some physical PDE Compressible Euler eq...

Ngày tải lên: 17/03/2014, 14:29

... Journal of Science, Mathematics - Physics 23 (2007) 6 3-6 9 Main results 2.1 The uniformly stable of null solution of delay differential equations Let us consider the delay differential equations ... model of population, we will give the following results : a If the C0 - semigoup operator (T (t))t≥0 is uniformly bounded then the null solution of E...

Ngày tải lên: 22/03/2014, 11:20

... type, which we prove to be Lp-bounded for < p < and invertible The Lp-boundedness is a consequence of the Lp-boundedness of the Cauchy integral (Coifman, McIntosh and Meyer) Z fw Tf (z) = w (? ... implication since a harmonic function u which satis es ( ) has non-tangential limits a.e on @ Rn+1, the limit-function u0 = u( ; 0) Lp(Rn) and + u(x; y) = py u0(x) Sketch of a proof Assume u...

Ngày tải lên: 31/03/2014, 15:16

... interval maps and ending with the Smale–Birkhoff theorem and the Melnikov method for homoclinic orbits Keywords and phrases Ordinary differential equations, dynamical systems, Sturm-Liouville equations ... classification 3 4-0 1 Abstract This manuscript provides an introduction to ordinary differential equations and dynamical systems We start with some simple examples of...

Ngày tải lên: 31/03/2014, 15:56

Ngày tải lên: 31/03/2014, 15:56

... Cutuloging-in-Publication Lhta: Solin Pavel Partial differential equations and the finite element method I Pave1 Solin p cm Includes bibliographical references and index ISBN-I 97 8-0 -4 7 1-7 207 0-6 ISBN-I0 ... PETER LAX, JOHN TOLAND A complete list of the titles in this series appears at the end of this volume Partial Differential Equations and t...

Ngày tải lên: 31/03/2014, 15:57

Ngày tải lên: 08/04/2014, 12:25

Ngày tải lên: 13/05/2014, 12:13

... initial and boundary value problems singular in the dependent variable,” in Handbook of Differential Equations, pp 1–68, Elsevier/NorthHolland, Amsterdam, The Netherlands, 2004 15 M Cherpion and C ... of α and β and r ≤ x ≤ 1/r Therefore Theorem 5.4 implies the existence of a weak solution of 7.7 between α and β Moreover, since f is positive between α and β the solution is increa...

Ngày tải lên: 21/06/2014, 20:20

... supW exists in C(J,E), and there is an increasing sequence (un ) in W which converges pointwise strongly in case (A) and weakly in the case (B) to u Moreover, in both cases, u(t) ≤ liminf un (t) ... main existence results in later sections are based on the following fixed point lemma S Carl and S Heikkil¨ 167 a Lemma 2.2 Let P be given by (2.1), and let G : P → P be an i...

Ngày tải lên: 23/06/2014, 00:20

... tiếng Vi t: Trong cặp liên hợp phương trình vi phân đại số số không khảo sát Đã nhận tiêu chuẩn để phương trình vi phản thừa kế phương trinh vi phân cốt lõi cặp liên hợp phương trình vi phân đại số ... jv - + E n - \ ) M n -2 ■ M q = M /v _ iM y v _ ■Mo + £ /v _ iM /v - • • ■MoO bserving th a t y y- II i=k Af-1 Ã //V - - Í II < P Ị...

Ngày tải lên: 18/03/2015, 11:46

... hence f is a constant and (X, V ) is hyperbolic 34 J.-P Demailly, Hyperbolic algebraic varieties and holomorphic differential equations Combining Theorem 8.8 with 8.7 ii) and iii), we get the ... subvariety Y X Therefore X is hyperbolic 16 J.-P Demailly, Hyperbolic algebraic varieties and holomorphic differential equations Conversely, if Conjecture 4.8 ho...

Ngày tải lên: 12/10/2015, 09:12