A classic treatment of partial differential equations from the acclaimed Annals of Mathematics Studies series

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Edited by L. Bers, S. Bochner, & F. John

• Frontmatter,
• Foreword,
• Contents,
• I. Green's Formula and Analytic Continuation,
• II. Strongly Elliptic Systems of Differential Equations,
• III. Derivatives of Solutions of Linear Elliptic Partial Differential Equations,
• IV. On Multivalued Solutions of Linear Partial Differential Equations,
• V. Function-Theoretical Properties of Solutions of Partial Differential Equations of Elliptic Type,
• VI. On a Generalization of Quasi-Conformal Mappings and its Application to Elliptic Partial Differential Equations,
• VII. Second Order Elliptic Systems of Differential Equations,
• VIII. Conservation Laws of Certain Systems of Partial Differential Equations and Associated Mappings,
• IX. Parabolic Equations,
• X. Linear Equations of Parabolic Type with Constant Coefficients,
• XI. On Linear Hyperbolic Differential Equations with Variable Coefficients on a Vector Space,
• XII. The Initial Value Problem for Nonlinear Hyperbolic Equations in Two Independent Variables,
• XIII. A Geometric Treatment of Linear Hyperbolic Equations of Second Order,
• XIV. On Cauchy's Problem and Fundamental Solutions,
• XV. A Boundary Value Problem for the Wave Equation and Mean Value Theorems,
• Backmatter,