Well-posedness of the Cauchy problem in a Banach space: Regular and degenerate cases

Functional Analysis and Semi-Groups

Richard G. Cooke · Nature · 1949 · 1.9K citations

Natural Sciences, Chemistry, Topology +9

Vector-valued laplace transforms and cauchy problems

Wolfgang Arendt · Israel Journal of Mathematics · 1987 · 1.4K citations

Natural Sciences, Mathematics, Differential Equations +13

Estimates for translation invariant operators in Lp spaces

Lars Hörmander · Acta Mathematica · 1960 · 1.4K citations · Full text

Humanities, Computer Science, Translation Theory +6

Cosine families and abstract nonlinear second order differential equations

Curtis C. Travis, Glenn F. Webb · Acta Mathematica Academiae Scientiarum Hungaricae · 1978 · 561 citations

Natural Sciences, Mathematics, Differential Equations +6

Resolvent Positive Operators

Wolfgang Arendt · Proceedings of the London Mathematical Society · 1987 · 271 citations

Natural Sciences, Mathematics, Brake Systems +12