caa a22 4500 463245849 CHVBK 20180405153325.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s00009-007-0129-7 doi (NATIONALLICENCE)springer-10.1007/s00009-007-0129-7 Yamaura Yoshihiko College of humanities and sciences, Nihon University, 25-40, Sakurajosui 3-chome, Setagaya, 156-8550, Tokyo, Japan aut A Gradient Flow of the One-Dimensional Alt-Caffarelli Functional [Elektronische Daten] [Yoshihiko Yamaura] Abstract.: We construct a candidate of the gradient flow for a variational functional with a singular term in the one-dimensional case. Applied is the scheme using the theory of Γ-convergence for variational functionals, where both the Dirichlet integral and the singular term are approximated at the same time. An approximated solution is constructed on the space of piecewise constant functions, and the desired gradient flow is built as the limit of it. We establish some properties of the gradient flow as well as obtain PDE including a term of integration by Radon measure. Birkhaueser, 2007 Gradient flow nationallicence Γ-convergence nationallicence Radon measures nationallicence Mediterranean Journal of Mathematics SP Birkhäuser Verlag Basel 4/4(2007-12-01), 451-482 1660-5446 4:4<451 2007 4 9 https://doi.org/10.1007/s00009-007-0129-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00009-007-0129-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Yamaura Yoshihiko College of humanities and sciences, Nihon University, 25-40, Sakurajosui 3-chome, Setagaya, 156-8550, Tokyo, Japan aut NATIONALLICENCE 773 0- Mediterranean Journal of Mathematics SP Birkhäuser Verlag Basel 4/4(2007-12-01), 451-482 1660-5446 4:4<451 2007 4 9 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer