St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
84 sonuçtan 1-3 arası sonuçlar
Sayfa 31
... estimate is proved for Co ( R3 ) 4 - functions , but it is known ( see , e.g. , [ 7 , p . 12 ] ) that such functions are dense in H1 ( R3 ) 4 . As a consequence , we obtain the estimate || D ( 41W ) || 0 , R3 ≤ C2 || ( D + V ) ( 41w ) ...
... estimate is proved for Co ( R3 ) 4 - functions , but it is known ( see , e.g. , [ 7 , p . 12 ] ) that such functions are dense in H1 ( R3 ) 4 . As a consequence , we obtain the estimate || D ( 41W ) || 0 , R3 ≤ C2 || ( D + V ) ( 41w ) ...
Sayfa 393
... Estimate ( 3.4 ) follows from ( 3.24 ) , ( 3.20 ) , and ( 3.26 ) . The uniqueness of the solution just constructed can be easily proved with the help of ( 3.2 ) and ( 3.9 ) – ( 3.13 ) . The theorem is proved . The solvability of problem ...
... Estimate ( 3.4 ) follows from ( 3.24 ) , ( 3.20 ) , and ( 3.26 ) . The uniqueness of the solution just constructed can be easily proved with the help of ( 3.2 ) and ( 3.9 ) – ( 3.13 ) . The theorem is proved . The solvability of problem ...
Sayfa 399
... estimates for the Hölder norms of the solution of problem ( 2.17 ) . Theorem 4.2 . Under the assumptions of Theorem 1.1 , the solution of problem ( 2.17 ) satisfies the estimate ( 4.24 ) | ōrt ( ' , t ) | C ° ( N ) + | ̃r ( · , t ) | C2 ...
... estimates for the Hölder norms of the solution of problem ( 2.17 ) . Theorem 4.2 . Under the assumptions of Theorem 1.1 , the solution of problem ( 2.17 ) satisfies the estimate ( 4.24 ) | ōrt ( ' , t ) | C ° ( N ) + | ̃r ( · , t ) | C2 ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL pSPACES | 11 |
OVER THE QUATERNIONS | 104 |
1 Introduction | 117 |
Telif Hakkı | |
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analytic approximation assume asymptotic Birman BKN-equation bounded C(zIm coefficients cohomology classes compatible components constant corresponding defined denote diffeomorphism Dirac operator domain edge eigenvalues embedding English transl estimate Euler characteristic exists finite formula geodesic graph graph-manifold harmonic Hilbert space holomorphic implies inequality integral invertible isometric K₁ kernel Lemma length function linear Math matrix matrix-valued function maximal blocks meromorphic monodromy nonzero norm NPC-solution obtain oriented Painlevé equations pair paper polynomial positive potential problem proof of Theorem properties Proposition prove rational refinable function relation representation respect result Riemann-Hilbert Riemann-Hilbert problem Riemannian manifold S₁ satisfies Schrödinger operator Seifert fibered space self-affine selfadjoint selfadjoint operators singular Sobolev Sobolev spaces solution spectrum Subsection subspace supp Suppose symmetric Theorem Theorem 3.1 theory torus vector vertex vertices zero