This text on measure theory with applications to partial differential equations covers general measure theory, Lebesgue spaces of real-valued and vector-valued functions, different notions of measurability for the latter, weak convergence of functions and measures, Radon and Young measures, capacity
Nonlinear Evolution Equations and Potential Theory
โ Scribed by Josef Krรกl (auth.), Josef Krรกl (eds.)
- Publisher
- Springer US
- Year
- 1975
- Tongue
- English
- Leaves
- 137
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Content:
Front Matter....Pages 1-7
Preface....Pages 9-9
Direct and Inverse Problems in Potential Theory....Pages 11-44
Regularity Results for Some Differential Eouations Associated with Maximal Monotone Operators in Hilbert Spaces....Pages 45-59
Classes DโInterpolation Associรฉes ๏ฟฝ un Opรฉrateur Monotone ET Applications....Pages 61-72
On Inverse Problems For k-Dimensional Potentials....Pages 73-88
Application of Rotheโs Method to Nonlinear Parabolic Boundary Value Problems....Pages 89-93
Potentials and Removability of Singularities....Pages 95-106
Theorem of Frรจchet and Asymptotically Almost Periodic Solutions of Some Nonlinear Equations of Hyperbolic Type....Pages 107-115
A New Type of Generalized Solution of the Dirichlet Problem for the Heat Equation....Pages 117-123
Some Remarks on Dirichlet Problem....Pages 125-132
Diffusion Processes and their Connection to Partial Differential Equations of Parabolic Type....Pages 133-142
Back Matter....Pages 143-145
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