How Long to Read Methods for Partial Differential Equations

How Long Does it Take to Read Methods for Partial Differential Equations?

It takes the average reader 7 hours and 46 minutes to read Methods for Partial Differential Equations by Marcelo R. Ebert

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

Description

This book provides an overview of different topics related to the theory of partial differential equations. Selected exercises are included at the end of each chapter to prepare readers for the “research project for beginners” proposed at the end of the book. It is a valuable resource for advanced graduates and undergraduate students who are interested in specializing in this area. The book is organized in five parts: In Part 1 the authors review the basics and the mathematical prerequisites, presenting two of the most fundamental results in the theory of partial differential equations: the Cauchy-Kovalevskaja theorem and Holmgren's uniqueness theorem in its classical and abstract form. It also introduces the method of characteristics in detail and applies this method to the study of Burger's equation. Part 2 focuses on qualitative properties of solutions to basic partial differential equations, explaining the usual properties of solutions to elliptic, parabolic and hyperbolic equations for the archetypes Laplace equation, heat equation and wave equation as well as the different features of each theory. It also discusses the notion of energy of solutions, a highly effective tool for the treatment of non-stationary or evolution models and shows how to define energies for different models. Part 3 demonstrates how phase space analysis and interpolation techniques are used to prove decay estimates for solutions on and away from the conjugate line. It also examines how terms of lower order (mass or dissipation) or additional regularity of the data may influence expected results. Part 4 addresses semilinear models with power type non-linearity of source and absorbing type in order to determine critical exponents: two well-known critical exponents, the Fujita exponent and the Strauss exponent come into play. Depending on concrete models these critical exponents divide the range of admissible powers in classes which make it possible to prove quite different qualitative properties of solutions, for example, the stability of the zero solution or blow-up behavior of local (in time) solutions. The last part features selected research projects and general background material.

How long is Methods for Partial Differential Equations?

Methods for Partial Differential Equations by Marcelo R. Ebert is 456 pages long, and a total of 116,736 words.

This makes it 154% the length of the average book. It also has 143% more words than the average book.

How Long Does it Take to Read Methods for Partial Differential Equations Aloud?

The average oral reading speed is 183 words per minute. This means it takes 10 hours and 37 minutes to read Methods for Partial Differential Equations aloud.

What Reading Level is Methods for Partial Differential Equations?

Methods for Partial Differential Equations 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 Methods for Partial Differential Equations?

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