T D Dzhuraev

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The solvability of the nonlocal boundary value problem ut = a(t, x, u, ux)uxx + b(t, x, u, ux), 0 ≤ t ≤ T, |x| ≤ l, u(0, x) = 0, u(t,−l) = u(t, l), ux(t,−l) = ux(t, l) in a class of functions is investigated for a quasilinear parabolic equation. The solution uniqueness follows from the maximum principle. The problem of solving the basic boundary value(More)
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