Variational Techniques for Elliptic Partial Differential Equations

Variational Techniques for Elliptic Partial Differential Equations

Theoretical Tools and Advanced Applications

Sayas, Francisco J.; Hassell, Matthew E.; Brown, Thomas S.

Taylor & Francis Ltd

01/2019

514

Dura

Inglês

9781138580886

15 a 20 dias

908

Descrição não disponível.
I Fundamentals

1 Distributions

2 The homogeneous Dirichlet problem

3 Lipschitz transformations and Lipschitz domains

4 The nonhomogeneous Dirichlet problem

5 Nonsymmetric and complex problems

6 Neumann boundary conditions

7 Poincare inequalities and Neumann problems

8 Compact perturbations of coercive problems

9 Eigenvalues of elliptic operators

II Extensions and Applications

10 Mixed problems

11 Advanced mixed problems

12 Nonlinear problems

13 Fourier representation of Sobolev spaces

14 Layer potentials

15 A collection of elliptic problems

16 Curl spaces and Maxwell's equations

17 Elliptic equations on boundaries

A Review material

B Glossary
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Elliptic PDE;Rellich Kondrachov Theorem;Sobolev spaces;Nonlinear Diffusion Problem;Hilbert Spaces;Hilbert Space Adjoint;Functional Analysis;Lipschitz Domain;Laplacian;Dirichlet problem;Bilinear Form;Neumann Eigenvalues;Bounded Lipschitz Domain;Lax Milgram Lemma;Banach Fixed Point Theorem;Uniquely Solvable;Homogeneous Dirichlet Problem;Gelfand Triples;Compactly Embedded;Impedance Boundary Conditions;Sesquilinear Form;Neumann Problem;Equivalent Variational Formulation;Compact Operator;Bounded Linear Operator;Convection Diffusion Equation;Compact Self-adjoint Operators