Translation of Lineĭnye i kvazilineĭnye uravnenii︠a︡ parabolicheskogo tipa.
Includes bibliographical references (pages 631-648).
Editor's note -- Introductory material -- Auxiliary propositions -- Linear equations with discontinuous coefficients -- Linear equations with smooth coefficients -- Quasi-linear equations with principal part in divergence form -- Quasi-linear equations of general form -- Systems of linear and quasi-linear equations