Artículo de revista
Strong solutions of a neutral type equation with finite delay
Fecha
2019Registro en:
Journal of Evolution Equations, Volumen 19, Issue 2, 2019, Pages 361-386
14243199
10.1007/s00028-019-00478-9
Autor
Poblete, Verónica
Poblete, Felipe
Pozo, Juan C.
Institución
Resumen
© 2019, Springer Nature Switzerland AG. This paper is concerned to study the existence and uniqueness of solution of neutral type differential equations, by using the maximal regularity property of the first-order abstract Cauchy problem with finite delay on Lebesgue spaces defined at the line. The main tools that we use to achieve our goals are an operator-valued version of Miklhin’s Fourier multiplier theorem, weighted Sobolev spaces on the real line and fixed point arguments.