Regularity of wave and plate equations with interior point control (Q1192798)

Summary: The regularity of solutions of various dynamical equations (wave, Euler- Bernoulli, Kirchhoff, Schrödinger) in a bounded open domain \(\Omega\) in \(R^ N\), subject to the action of a point control at some point of \(\Omega\), is studied. Detailed proofs of the results are contained in the following papers of the author: Regularity with interior point control. Part I: Wave equations and Euler-Bernoulli equations, Lect. Notes Math. (to appear), Regularity with interior point control. Part II: Kirchhoff equations, J. Diff. Eq. (to appear), Regularity with interior point control. Part III: Schrödinger equations, J. Math. Anal. Appl. (to appear).