caa a22 4500 475797353 CHVBK 20180406123728.0 cr unu---uuuuu 170329e20000301xx s 000 0 eng 10.1007/s000330050199 doi (NATIONALLICENCE)springer-10.1007/s000330050199 On the higher integrability for the gradients of the solutions to difference partial differential systems of elliptic-parabolic type [Elektronische Daten] [J. Haga, N. Kikuchi] Abstract.: The main objective of this paper is to investigate the regularity property of solutions to difference partial differential equations of elliptic-parabolic type. Under some proper assumptions on the coefficients of the equations and on the initial-boundary data, there is established the higher integrability of the gradients of the solutions in problem. Birkhäuser Verlag, Basel,, 2000 Key words. Higher integrability, Difference partial differential system, Caccioppoli estimate, Gehring-Giaquinta-Modica theory nationallicence Haga J. Dept. of Mathematics, Faculty of Science and Technology, Keio University, Hiyoshi, Yokohama 223, Japan, e-mail: kikuchi@math.keio.ac.jp, JP aut Kikuchi N. Dept. of Mathematics, Faculty of Science and Technology, Keio University, Hiyoshi, Yokohama 223, Japan, e-mail: kikuchi@math.keio.ac.jp, JP aut https://doi.org/10.1007/s000330050199 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s000330050199 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Haga J. Dept. of Mathematics, Faculty of Science and Technology, Keio University, Hiyoshi, Yokohama 223, Japan, e-mail: kikuchi@math.keio.ac.jp, JP aut NATIONALLICENCE 700 1- Kikuchi N. Dept. of Mathematics, Faculty of Science and Technology, Keio University, Hiyoshi, Yokohama 223, Japan, e-mail: kikuchi@math.keio.ac.jp, JP aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer