St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
12 sonuçtan 1-3 arası sonuçlar
Sayfa 39
... equivalence ( see [ 27 , Subsection 1.18.10 , Remark 3 ] 4 ) . The real and complex interpolation methods for the Sobolev spaces determined by boundary conditions were investigated in the papers by Grisvard [ 28 ] and Seeley [ 29 ] ...
... equivalence ( see [ 27 , Subsection 1.18.10 , Remark 3 ] 4 ) . The real and complex interpolation methods for the Sobolev spaces determined by boundary conditions were investigated in the papers by Grisvard [ 28 ] and Seeley [ 29 ] ...
Sayfa 64
... equivalence of claims 1 ) -3 ) in the theorem . Formula ( 2.10 ) shows that 2 ) implies 3 ) . The fact that 3 ) implies 1 ) is trivial ( simply take z = w ) . It remains to show that 1 ) implies 2 ) . First , we note that the function N ...
... equivalence of claims 1 ) -3 ) in the theorem . Formula ( 2.10 ) shows that 2 ) implies 3 ) . The fact that 3 ) implies 1 ) is trivial ( simply take z = w ) . It remains to show that 1 ) implies 2 ) . First , we note that the function N ...
Sayfa 115
... equivalence of the nonlinear system ( 25 ) to the compat- ibility condition ( 34 ) of the overdetermined linear system ( 31 ) . Let u ( x ) and v ( x ) be functions satisfying the conditions of the theorem . Consider the linear system ...
... equivalence of the nonlinear system ( 25 ) to the compat- ibility condition ( 34 ) of the overdetermined linear system ( 31 ) . Let u ( x ) and v ( x ) be functions satisfying the conditions of the theorem . Consider the linear system ...
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