How Long to Read The Hodge-Laplacian

By Dorina Mitrea

How Long Does it Take to Read The Hodge-Laplacian?

It takes the average reader 9 hours and 4 minutes to read The Hodge-Laplacian by Dorina Mitrea

Assuming a reading speed of 250 words per minute. Learn more

Description

The core of this monograph is the development of tools to derive well-posedness results in very general geometric settings for elliptic differential operators. A new generation of Calderón-Zygmund theory is developed for variable coefficient singular integral operators, which turns out to be particularly versatile in dealing with boundary value problems for the Hodge-Laplacian on uniformly rectifiable subdomains of Riemannian manifolds via boundary layer methods. In addition to absolute and relative boundary conditions for differential forms, this monograph treats the Hodge-Laplacian equipped with classical Dirichlet, Neumann, Transmission, Poincaré, and Robin boundary conditions in regular Semmes-Kenig-Toro domains. Lying at the intersection of partial differential equations, harmonic analysis, and differential geometry, this text is suitable for a wide range of PhD students, researchers, and professionals. Contents: Preface Introduction and Statement of Main Results Geometric Concepts and Tools Harmonic Layer Potentials Associated with the Hodge-de Rham Formalism on UR Domains Harmonic Layer Potentials Associated with the Levi-Civita Connection on UR Domains Dirichlet and Neumann Boundary Value Problems for the Hodge-Laplacian on Regular SKT Domains Fatou Theorems and Integral Representations for the Hodge-Laplacian on Regular SKT Domains Solvability of Boundary Problems for the Hodge-Laplacian in the Hodge-de Rham Formalism Additional Results and Applications Further Tools from Differential Geometry, Harmonic Analysis, Geometric Measure Theory, Functional Analysis, Partial Differential Equations, and Clifford Analysis Bibliography Index

How long is The Hodge-Laplacian?

The Hodge-Laplacian by Dorina Mitrea is 528 pages long, and a total of 136,224 words.

This makes it 178% the length of the average book. It also has 166% more words than the average book.

How Long Does it Take to Read The Hodge-Laplacian Aloud?

The average oral reading speed is 183 words per minute. This means it takes 12 hours and 24 minutes to read The Hodge-Laplacian aloud.

What Reading Level is The Hodge-Laplacian?

The Hodge-Laplacian is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy The Hodge-Laplacian?

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