Singularities in Solutions to Mathematical Physics Problems in Non-Smooth Domains

Vladimir Arkad'evich Kozlov, Vladimir Gilelevich Maz'ya · Birkhäuser Boston eBooks · 1996

During the last three decades the theory of linear boundary value problems in “bad” domains was developed. However, there exists a certain gap between the requirements of applications and this theory which includes the Fredholm property, estimates of solutions in different function spaces and general structure of asymptotics of solutions near irregularities of the boundary (see [1],[2]). Probably, the most important problem is to find explicit information about singularities of solutions. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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