We consider estimates depending on a parameter for general linear elliptic boundary value problems, with nonhomogeneous boundary conditions, in Nikol’skij spaces. These estimates are then employed to study general linear nonautonomous parabolic systems, again with nonhomogeneous boundary conditions. Maximal regularity results are proved.
CITATION STYLE
Guidetti, D. (2011). On linear elliptic and parabolic problems in Nikol’skij spaces. In Progress in Nonlinear Differential Equations and Their Application (Vol. 80, pp. 275–300). Springer US. https://doi.org/10.1007/978-3-0348-0075-4_15
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