16 citations · 106 across the 21 of their papers we have counts for
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math.AP2014★ 7 cited
Solution regularity and smooth dependence for abstract equations and applications to hyperbolic PDEs
Irina Kmit, Lutz Recke
In the first part we present a generalized implicit function theorem for abstract equations of the type . We suppose that is a solution for and that $F(λ,\cdo…
math.AP2014★ 2 cited
Time-Periodic Second-Order Hyperbolic Equations: Fredholmness, Regularity, and Smooth Dependence
Irina Kmit, Lutz Recke
The paper concerns the general linear one-dimensional second-order hyperbolic equation $$ \partial^2_tu - a^2(x,t)\partial^2_xu + a_1(x,t)\partial_tu + a_2(x,t)\partial_xu + a_3(x,…