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23 sonuçtan 1-3 arası sonuçlar
Sayfa 718
( b ) ao can be realized for values of the parameter p different from 0 and a . $ 4 .
COMMENTS 4 . 1 . We remark first of all that the parameters a , T , and 2 in
equation ( 1 . 4 ) are not independent . With the help of the scale change ( x + Tx )
we ...
( b ) ao can be realized for values of the parameter p different from 0 and a . $ 4 .
COMMENTS 4 . 1 . We remark first of all that the parameters a , T , and 2 in
equation ( 1 . 4 ) are not independent . With the help of the scale change ( x + Tx )
we ...
Sayfa 1111
Under the assumption that the spectrum of the linearized equation on the initial
soliton has the simplest possible structure it is shown that the asymptotics of the
solution for large time , is given by a soliton , with slightly displaced parameters ...
Under the assumption that the spectrum of the linearized equation on the initial
soliton has the simplest possible structure it is shown that the asymptotics of the
solution for large time , is given by a soliton , with slightly displaced parameters ...
Sayfa 1112
( 3 ) parameters o ; can be described by effective formulas in terms of the initial
condition . See , for example , [ 2 ] about these results . Solutions of the soliton
type exist also for equations of the form ( 1 ) under sufficiently general
assumptions ...
( 3 ) parameters o ; can be described by effective formulas in terms of the initial
condition . See , for example , [ 2 ] about these results . Solutions of the soliton
type exist also for equations of the form ( 1 ) under sufficiently general
assumptions ...
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
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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