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Table of Contents

I: Functional analysis.- I. Distribution theory.- II. Some special spaces of distributions.- II: Differential operators with constant coefficients.- III. Existence and approximation of solutions of differential equations.- IV. Interior regularity of solutions of differential equations.- V. The Cauchy problem (constant coefficients).- III: Differential operators with variable coefficients.- VI. Differential equations which have no solutions.- VII. Differential operators of constant strength.- VIII. Differential operators with simple characteristics.- IX. The Cauchy problem (variable coefficients).- X. Elliptic boundary problems.- Appendix. Some algebraic lemmas.- Index of notations.