caa a22 4500 46793231X CHVBK 20180406152947.0 cr unu---uuuuu 170328e20060201xx s 000 0 eng 10.1007/s00020-003-1354-5 doi (NATIONALLICENCE)springer-10.1007/s00020-003-1354-5 Medková Dagmar Academy of Sciences of the Czech Republic, Mathematical Institute, Žitná 25, 115 67, Praha 1, Czech Republic aut The Third Problem for the Laplace Equation with a Boundary Condition from L p [Elektronische Daten] [Dagmar Medková] Abstract.: The third problem for the Laplace equation is studied on an open set with Lipschitz boundary. The boundary condition is in Lp and it is fulfilled in the sense of the nontangential limit. The existence and the uniqueness of a solution is proved and the solution is expressed in the form of a single layer potential. For domains with C1 boundary the explicit solution of the problem is calculated. Birkhäuser Verlag, Basel, 2006 Laplace equation nationallicence Robin problem nationallicence single layer potential nationallicence explicit solution nationallicence Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 54/2(2006-02-01), 235-258 0378-620X 54:2<235 2006 54 20 https://doi.org/10.1007/s00020-003-1354-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00020-003-1354-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Medková Dagmar Academy of Sciences of the Czech Republic, Mathematical Institute, Žitná 25, 115 67, Praha 1, Czech Republic aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 54/2(2006-02-01), 235-258 0378-620X 54:2<235 2006 54 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer