Non-Homogeneous Boundary Value Problems and Applications

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This volume delves into non-homogeneous boundary value problems for specific evolution equations, focusing on parabolic and hyperbolic operators. It explores regularity, transposition, and interpolation methods, highlighting new regularity results. The application of these findings to optimal control problems is a key feature, particularly concerning boundary conditions. Additionally, the book addresses the characterization of well-posed problems and hints at further applications, including numerical analysis, to be explored in the subsequent volume.