Parabolic Equations in Locally Uniform Spaces
Anı́bal Rodriguez-Bernal · Birkhäuser-Verlag eBooks · 2006
where both the potential V (x) and the initial data belong to the so-called locally uniform spaces, [2]. These spaces, defined below, allow for local singularities and impose no growth restrictions at infinity. Moreover they enjoy suitable nesting and embedding properties similar as the Lebesgue spaces in a bounded domain. Also, we consider more general parabolic equations of the form ut − N ∑