2000 character limit reached
On higher index differential-algebraic equations in infinite dimensions (1710.08750v2)
Published 24 Oct 2017 in math.CA and math.FA
Abstract: We consider initial value problems for differential-algebraic equations in a possibly infinite-dimensional Hilbert space. Assuming a growth condition for the associated operator pencil, we prove existence and uniqueness of solutions for arbitrary initial values in a distributional sense. Moreover, we construct a nested sequence of subspaces for initial values in order to obtain classical solutions.