Parabolic differential equations with bounded delay

HIGHLIGHTS

  • who: Marek Kryspin from the (UNIVERSITY) have published the article: Parabolic differential equations with bounded delay, in the Journal: (JOURNAL)
  • what: The authors show the continuous dependence of solutions of linear nonautonomous second-order parabolic partial differential (PDEs) with bounded delay on coefficients and delay. The authors show first that (3.5) defines a (L((0, t)), B(L p (D)))measurable function.

SUMMARY

    The nonautonomous case, ⎧ ⎨ ∂u (t, x)=Δu(t, x) + c (t, x)u(t - R(t), x), t > 0, x ∈ D 1 ∂t ⎩u(t, x)=0 . . .

     

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