Distributions, partial differential equations, and harmonic analysis /
Mitrea, Dorina, 1965-
Distributions, partial differential equations, and harmonic analysis / Dorina Mitrea. - xxi, 460 pages ; 24 cm. - Universitext, . - Universitext. .
Includes bibliographical references (pages 449-453) and index.
Weak Derivatives -- The Space D′(Ω) of Distributions -- The Schwartz Space and the Fourier Transform -- The Space of Tempered Distributions -- The Concept of a Fundamental Solution
The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential operators: the Laplace, heat, wave, Lam\'e and Schrodinger operators.
9781461482079
Theory of distributions (Functional analysis)
Teoría de las distribuciones (análisis funcional)
Differential equations, Partial
Ecuaciones diferenciales, Parciales
Harmonic analysis.
Análisis armónico
515.782
Distributions, partial differential equations, and harmonic analysis / Dorina Mitrea. - xxi, 460 pages ; 24 cm. - Universitext, . - Universitext. .
Includes bibliographical references (pages 449-453) and index.
Weak Derivatives -- The Space D′(Ω) of Distributions -- The Schwartz Space and the Fourier Transform -- The Space of Tempered Distributions -- The Concept of a Fundamental Solution
The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential operators: the Laplace, heat, wave, Lam\'e and Schrodinger operators.
9781461482079
Theory of distributions (Functional analysis)
Teoría de las distribuciones (análisis funcional)
Differential equations, Partial
Ecuaciones diferenciales, Parciales
Harmonic analysis.
Análisis armónico
515.782