• a browder degree theory from the nagumo degree on the hilbert space of elliptic super-regularization

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1390/01/01
    • تاریخ انتشار در تی پی بین: 1390/01/01
    • تعداد بازدید: 391
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     let x be a real reflexive separable locally uniformly convex banach space with locally uniformly convex dual space x. let q : h → x be a linear compact injection, according to browder and ton, such that q(h) = x, where h is a real separable hilbert space. let x be a real reflexive separable locally uniformly convex banach space with locally uniformly convex dual space x. let q : h → x be a linear compact injection, according to browder and ton, such that q(h) =x, where h is a real separable hilbert space. a degree mapping d on x is constructed from the nagumo degree dna on h by

    d(t + f , g, 0) := limt→0 dna(i +1/tq∗(tt + f )q, q−1g, 0., where g ⊂ x is open and bounded, tt is the resolvent (t−1 + tj−1)−1 of a strongly quasibounded maximal monotone operator t : x⊃d(t ) → 2x∗ with 0 ∈ t (0), and f : g → x is demicontinuous, bounded and of type (s+). a ‘‘range of sums’’ result is also given, using the skrypnik degree theory, in order to further exhibit the methodology of ‘‘elliptic super-regularization’’.

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