St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
46 sonuçtan 1-3 arası sonuçlar
Sayfa 477
... symbol σA of the operator A looks like this : σд ( w ) = А1 ' ( x , u ) wi , Є Є where x ЄM , u M ' , and w = widx ' TM . If we pass from one system of local coordinates on M to another , the matrices A1i change in accordance with the ...
... symbol σA of the operator A looks like this : σд ( w ) = А1 ' ( x , u ) wi , Є Є where x ЄM , u M ' , and w = widx ' TM . If we pass from one system of local coordinates on M to another , the matrices A1i change in accordance with the ...
Sayfa 479
... For every section Ak of the bundle Symb ( M , M ' ) of symbols , there exists a differential operator with symbol Ak . §3 . LINEARIZED DIFFERENTIAL OPERATORS 3.1 . Basic properties . QUASILINEAR ELLIPTIC DIFFERENTIAL EQUATIONS 479.
... For every section Ak of the bundle Symb ( M , M ' ) of symbols , there exists a differential operator with symbol Ak . §3 . LINEARIZED DIFFERENTIAL OPERATORS 3.1 . Basic properties . QUASILINEAR ELLIPTIC DIFFERENTIAL EQUATIONS 479.
Sayfa 480
... symbol A. ( u ) is given by the formula ( 3.3 ) σA . ( u ) ( x ) = σA ( jk - 1u ( x ) ) , x M. Corollary 3.2 . A quasilinear differential operator A is elliptic if and only if for every u in C∞ ( M , M ' ) the linear differential ...
... symbol A. ( u ) is given by the formula ( 3.3 ) σA . ( u ) ( x ) = σA ( jk - 1u ( x ) ) , x M. Corollary 3.2 . A quasilinear differential operator A is elliptic if and only if for every u in C∞ ( M , M ' ) the linear differential ...
İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
5 Moduli spaces for the solutions of quasilinear elliptic | 488 |
Telif Hakkı | |
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A₁ algebra American Mathematical Society assume asymptotics cellular ring coefficients commutative compact consider constant convergence Corollary corresponding curve cyclic defined Definition denote differential operator domain eigenvalues element elliptic elliptic gamma function English transl equation equivalent estimate exists finite formula Hankel Hankel operators Hecke operators Hilbert space homogenization hypergeometric hypergeometric series ideal implies inequality integral isomorphism Jordan model lattice Lemma linear manifold mapping Math matrix multiple norm notation obtain orthogonal paper parameters perestroika Petersburg polynomial problem proof of Theorem Proposition prove quasiaffinity quasilinear relation representation respectively right-hand side satisfies selfadjoint sequence Sobolev spaces solution solvable subgroup Subsection subspaces Suppose symplectic symplectic group Theorem theory theta theta-series transformation vector zero