Contributions to the Theory of Partial Differential Equations. (AM-33), Volume 33

*Frontmatter, pg. i*Foreword, pg. v*Contents, pg. vii*I. Green's Formula and Analytic Continuation, pg. 1*II. Strongly Elliptic Systems of Differential Equations, pg. 15*III. Derivatives of Solutions of Linear Elliptic Partial Differential Equations, pg. 53*IV. On Multivalued Solutions of Linear Partial Differential Equations, pg. 63*V. Function-Theoretical Properties of Solutions of Partial Differential Equations of Elliptic Type, pg. 69*VI. On a Generalization of Quasi-Conformal Mappings and its Application to Elliptic Partial Differential Equations, pg. 95*VII. Second Order Elliptic Systems of Differential Equations, pg. 101*VIII. Conservation Laws of Certain Systems of Partial Differential Equations and Associated Mappings, pg. 161*IX. Parabolic Equations, pg. 167*X. Linear Equations of Parabolic Type with Constant Coefficients, pg. 191*XI. On Linear Hyperbolic Differential Equations with Variable Coefficients on a Vector Space, pg. 201*XII. The Initial Value Problem for Nonlinear Hyperbolic Equations in Two Independent Variables, pg. 211*XIII. A Geometric Treatment of Linear Hyperbolic Equations of Second Order, pg. 231*XIV. On Cauchy's Problem and Fundamental Solutions, pg. 235*XV. A Boundary Value Problem for the Wave Equation and Mean Value Theorems, pg. 249*Backmatter, pg. 259