St. Petersburg Mathematical Journal, 4. cilt,4-6. sayılarAmerican Mathematical Society, 1993 |
Kitabın içinden
20 sonuçtan 1-3 arası sonuçlar
Sayfa 1177
... classical solutions of all of the inequalities ( 2.8 ) of Lemma 2.3 , for example . It is obvious that C2 - solutions of ( 4.1 ) are supersolutions of it in any sense . We denote the set of all supersolutions of ( 4.1 ) by Ñ ( F ) : - Ñ ...
... classical solutions of all of the inequalities ( 2.8 ) of Lemma 2.3 , for example . It is obvious that C2 - solutions of ( 4.1 ) are supersolutions of it in any sense . We denote the set of all supersolutions of ( 4.1 ) by Ñ ( F ) : - Ñ ...
Sayfa 1182
... classical sense . Indeed , the following general statement holds . Theorem 6.6 . Suppose that the function F satisfies the hypotheses of Theorem 6.1 , that it does not depend on u , and that it is even in p and homogeneous in r . Assume ...
... classical sense . Indeed , the following general statement holds . Theorem 6.6 . Suppose that the function F satisfies the hypotheses of Theorem 6.1 , that it does not depend on u , and that it is even in p and homogeneous in r . Assume ...
Sayfa 1183
... classical solutions of second - order linear elliptic equations for solutions of homogeneous equations ( 4.1 ) and also of ( 6.5 ) . Corollary 6.7 . Let u be a solution of ( 6.5 ) in the classical or viscosity sense . Then , for any ...
... classical solutions of second - order linear elliptic equations for solutions of homogeneous equations ( 4.1 ) and also of ( 6.5 ) . Corollary 6.7 . Let u be a solution of ( 6.5 ) in the classical or viscosity sense . Then , for any ...
İçindekiler
MATHEMATICS | 665 |
150 | 832 |
ABSTRACT Let be an elliptic differential operator of order n2 with constant | 940 |
Telif Hakkı | |
4 diğer bölüm gösterilmiyor
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a₁ analytic assertion assume asymptotic Blaschke product boundary bounded C₁ cone consider const constant construction convex corresponding covector cubes D₁ decomposition defined definition denote diffeomorphisms differential domain eigenvalues English transl equality equation equivalent estimate exists finite follows function f H₁ hence Hilbert space Hölder holds inequality inner function integral irreducible lattice Lemma Leningrad Lie algebra linear M₁ mapping Mathematical Mathematics Subject Classification maximum principle morphism multiplicity nonlinear norm obtained operator pair perturbation polynomial problem proof of Theorem properties Proposition proved representation Riemann-Roch theorem S₁ satisfying the conditions scattering matrix scattering theory selfadjoint singular smooth solution Soviet Math space spectral spectrum Steklov subspace sufficiently Suppose t₁ Theorem 1.1 theory trace formula trace-class unique unitary V₁ zero