For related questions, we recall that P. Grisvard considered elliptic problems in traditional L~p or Hoelder continuous function spaces in plane domains,while the Russian school, on the lines of Kondratiev, developed a rich theory in spaces of functions with weights. Coming back to more traditional spaces, J. O. Adeyeye studied the generation of an analytic semigroup by the Laplace operator with various boundary conditions in L~p spaces (1 < p < +∞) in a polygon. Under the previous conditions, he characterized also the real interpolation spaces between the domain with Dirichlet boundary conditions and L~p. For some bibliography concerning these results, we refer to[3]. In the paper the classical mixed Cauchy-Dirichlet problem for the heat equation in a plane angle was studied. To this aim, the author considered also estimates depending on a parameter and characterized real interpolation spaces for the Poisson equation in a plane angle, working in the framework of continuous and Holder-continuous functions, even of negative order.
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