Elliptic Equations: An Introductory Course
The aim of this book is to introduce the reader to different topics of the theory of elliptic partial differential equations by avoiding technicalities and complicated refinements. Apart from the basic theory of equations in divergence form, it includes subjects as singular perturbations, homogeniza...
محفوظ في:
| المؤلف الرئيسي: | |
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| مؤلف مشترك: | |
| التنسيق: | الكتروني كتاب الكتروني |
| اللغة: | الإنجليزية |
| منشور في: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2024.
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| الطبعة: | 2nd ed. 2024. |
| سلاسل: | Birkhäuser Advanced Texts Basler Lehrbücher,
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://doi.org/10.1007/978-3-031-54123-0 |
| الوسوم: |
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جدول المحتويات:
- Part I Basic Techniques
- Hilbert Space Techniques
- A Survey of Essential Analysis
- Weak Formulation of Elliptic Problems
- Elliptic Problems in Divergence Form
- Singular Perturbation Problems
- Problems in Large Cylinders
- Periodic Problems
- Homogenization
- Eigenvalues
- Numerical Computations
- Part II More Advanced Theory
- Nonlinear Problems
- L∞-estimates
- Linear Elliptic Systems
- The Stationary Navier--Stokes System
- Some More Spaces
- Regularity Theory
- p-Laplace Type Equations
- The Strong Maximum Principle
- Problems in the Whole Space
- Large Solutions
- Mountain Pass Techniques.