Focusing on the archetypes of linear partial differential equations, this text for upper-level undergraduates and graduate students employs nontraditional methods to explain classical material. Topics include the Cauchy problem, boundary value problems, and mixed problems and evolution equations. Nearly 400 exercises enable students to reconstruct proofs. 1975 edition.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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canonical antilinear isometry, arbitrary bounded open subset, greatest harmonic minorant, hyperbolic mixed problems, sesquilinear functional, superharmonic functions, unique fundamental solution, external approximation, unique harmonic function, antilinear functional, continuous bilinear map, unit circumference, cone property, weak maximum principle, sesquilinear form, natural injection, compact open subset, linear partial differential operator Key Phrases - Capitalized Phrases (CAPs): (learn more)
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canonical antilinear isometry, arbitrary bounded open subset, greatest harmonic minorant, hyperbolic mixed problems, sesquilinear functional, superharmonic functions, unique fundamental solution, external approximation, unique harmonic function, antilinear functional, continuous bilinear map, unit circumference, cone property, weak maximum principle, sesquilinear form, natural injection, compact open subset, linear partial differential operator Key Phrases - Capitalized Phrases (CAPs): (learn more)
Consider the Cauchy Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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35
books
cite this book:
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- Partial Differential Equations: Basic Theory (Texts in Applied Mathematics) by Michael E. Taylor on page 301, page 414, and page 468
- Partial Differential Equations I: Basic Theory (Applied Mathematical Sciences) by Michael E. Taylor on page 300, page 413, and Back Matter
- Diffusions and Waves (Mathematics and Its Applications) by Henryk Gzyl on page 87
- Real Reductive Groups I, Vol. 132 (Pure and Applied Mathematics) by Nolan R. Wallach in Index
- Six Themes On Variation (Student Mathematical Library, V. 26) by Robin Forman on page 57
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