Abstract
Schrödinger equations are shown in Section 2.1 to be equivalent to pairs of adjoint non-linear diffusion equations. Their weak solutions are treated in Section 2.2 as elements of the local space-time Sobolev space H 1,2 loc which is motivated from the L2-theory of Schrödinger equations.
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© 1996 Birkhäuser Verlag Basel
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Aebi, R. (1996). Diffusions with Singular Drift. In: Schrödinger Diffusion Processes. Probability and Its Applications. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9027-4_2
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DOI: https://doi.org/10.1007/978-3-0348-9027-4_2
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9874-4
Online ISBN: 978-3-0348-9027-4
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