Second order evolution equations with time-dependent subdifferentials |
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Authors: | Masahiro Kubo |
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Institution: | (1) Department of Mathematics, Nagoya Institute of Technology, Nagoya 466-8555, Japan |
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Abstract: | We study an abstract second order nonlinear evolution equation in a real Hilbert space. We consider time-dependent convex
functions and their subdifferentials operating on the first derivative of the unknown function. Introducing appropriate assumptions
on the convex functions and other data, we prove the existence and uniqueness of a strong solution, and give some applications
of the abstract theorem to hyperbolic variational inequalities with time-dependent constraints.
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Keywords: | 35L85 34G25 |
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