6 INTRODUCTION
so-called inhomogeneous norms which contains the usual Sobolev spaces. We in-
vestigate the solvability of the boundary value problem in such spaces and find the
asymptotics of the solutions near the conical points.
The third part of the book consisting of Chapters 9 and 10 concerns boundary
value problems in domains with other isolated singularities. In particular, bound-
ary value problems in domains with point singularities of interior and exterior of
a cusp type are considered. Here the solvability of the boundary value problem in
special weighted Sobolev spaces depending on the geometry of the domain near the
point singularities is studied.
Acknowledgements. The authors are most grateful to L. I. Hedberg, P. Takac,
and G. Wildenhain for reading parts of the preliminary version of the manuscript
and for their valuable comments. The first author would like to acknowledge the
support of the Department of Mathematics of the Linkoping University, the Royal
Swedish Academy of Science, the Swedish Research Council for Engineering Sci-
ences (TFR), and the Swedish Institute. The second author acknowledges support
from the Swedish Natural Science Research Council (NFR) and the Swedish Re-
search Council for Engineering Sciences. Last but not least, the third author wishes
to express his thanks to the Department of Mathematics of the Linkoping University
for the hospitality during various stages of the preparation of this book.
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