Kitabın içinden
54 sonuçtan 1-3 arası sonuçlar
Sayfa 730
4 ) defined on R and satisfying the asymptotic condition UR = - 1 Up = - log + 0 ( +
) The uniqueness implies that ur has u _ as an analytic continuation to C . It
remains to obtain the asymptotic expansion ( 1 . 4 ) . Proposition 4 . 5 . There
exists a ...
4 ) defined on R and satisfying the asymptotic condition UR = - 1 Up = - log + 0 ( +
) The uniqueness implies that ur has u _ as an analytic continuation to C . It
remains to obtain the asymptotic expansion ( 1 . 4 ) . Proposition 4 . 5 . There
exists a ...
Sayfa 738
It is an entire function and has the asymptotic expansion ( 1 . 4 ) outside an
arbitrarily small sector containing the positive real semiaxis . So the problem in
question is equivalent to finding an analytic integral near the unstable separatrix r
. of ...
It is an entire function and has the asymptotic expansion ( 1 . 4 ) outside an
arbitrarily small sector containing the positive real semiaxis . So the problem in
question is equivalent to finding an analytic integral near the unstable separatrix r
. of ...
Sayfa 1129
This time the asymptotic factor ( 1 + \ kl ) - ' cannot be obtained as directly as in
the description of the preceding solutions , this requires more detailed
considerations , which we do not present here . For the solution $ 3 ( more
precisely , for the ...
This time the asymptotic factor ( 1 + \ kl ) - ' cannot be obtained as directly as in
the description of the preceding solutions , this requires more detailed
considerations , which we do not present here . For the solution $ 3 ( more
precisely , for the ...
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
Telif Hakkı | |
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According algebra analytic apply assertion assume asymptotic Banach space boundary bounded called closed complete condition cone connected Consequently consider const constant construction contains continuous corresponding cubes defined definition denote depend derivatives described determined differential direct domain eigenvalues element English transl equality equation equivalent estimate example exists extension fact field finite fixed follows formula function Further given gives hence holds implies inequality integral introduce lattice Lemma limit linear mapping Math Mathematical matrix means measure multiplicity norm obtained Obviously operator pair particular perturbation polynomial positive possible present principle problem Proof properties Proposition proved reduced relation remains Remark representation respect satisfies scattering side smooth solution space spectral spectrum subspace sufficiently Suppose Theorem theory unique valid vector zero