St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
83 sonuçtan 1-3 arası sonuçlar
Sayfa 49
... inequality is true : ( 7.7 ) || u || 2 ( 1992 ≤ C | | x || 0 ( 8 ) u | 2 dx . §8 . THE DIRICHLET PROBLEM ( 7.4 ) We introduce the space respect to the norm defined by ( 8.1 ) ( ) 2 as the completion of the linear set Co ( N ) 2 with ...
... inequality is true : ( 7.7 ) || u || 2 ( 1992 ≤ C | | x || 0 ( 8 ) u | 2 dx . §8 . THE DIRICHLET PROBLEM ( 7.4 ) We introduce the space respect to the norm defined by ( 8.1 ) ( ) 2 as the completion of the linear set Co ( N ) 2 with ...
Sayfa 368
... inequalities . The second inequality is proved similarly . = Remark . In the case where k 1 and N is a ball , Theorem 5 was proved by other methods in a number of papers ( see , e.g. , [ 29 , 32 , 33 , 36 , 43 ] ) . Corollary . Suppose ...
... inequalities . The second inequality is proved similarly . = Remark . In the case where k 1 and N is a ball , Theorem 5 was proved by other methods in a number of papers ( see , e.g. , [ 29 , 32 , 33 , 36 , 43 ] ) . Corollary . Suppose ...
Sayfa 413
... INEQUALITY BETWEEN DIRICHLET AND NEUMANN EIGENVALUES FOR THE LAPLACE OPERATOR N. FILONOV Dedicated to my teacher Mikhail Shlemovich Birman ABSTRACT . A simple proof of the inequality μk + 1 < λk is given . Here the λk ( re- spectively ...
... INEQUALITY BETWEEN DIRICHLET AND NEUMANN EIGENVALUES FOR THE LAPLACE OPERATOR N. FILONOV Dedicated to my teacher Mikhail Shlemovich Birman ABSTRACT . A simple proof of the inequality μk + 1 < λk is given . Here the λk ( re- spectively ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL SPACES | 17 |
CONTENTS | 27 |
1 Introduction | 117 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
analytic apply approximation assume asymptotic belongs BKN-equation block boundary bounded called closed coefficients compatible complete components condition Consequently consider constant construction contains continuous corresponding covering defined definition denote differential domain edge eigenvalues embedding equal equation estimate example exists extension fact fibers field finite fixed formula function given graph harmonic implies inequality integral invertible Lemma linear manifold Math Mathematical matrix monodromy Moreover norm obtain operator oriented pair particular periodic polynomial positive potential present problem proof properties Proposition prove rational relation Remark representation respect result satisfies selfadjoint separation singular smooth solution space spectral spectrum statement Subsection sufficiently Suppose surface symmetric Theorem theory transl true unique values vector vertex vertices zero