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Continuous analogue to iterative optimization for PDE-constrained inverse problems. [PDF]

open access: yesInverse Probl Sci Eng, 2019
Boiger R   +3 more
europepmc   +1 more source

Semilinear Parabolic Equations with Nonmonotone Nonlinearity

open access: yesSemilinear Parabolic Equations with Nonmonotone Nonlinearity
A semilinear evolution equation of the type u_t-Δu-g_1(x, t, u)+g_2(x, t, u)=f on Ω×(0,T) is studied in the space L^1(Ω), where Ω is a bounded domain in R^N, and g_1(x, t, r) and g_2(x, t, r) are monotone continuous with respect to r and measurable with respect to x and t. An existence theorem for the initial value problem associated to this semilinear
openaire   +1 more source

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