°üÓÊ Æ«Î¢·Ö·½³ÌPartial differential equations

ƫ΢·Ö·½³ÌPartial differential equations ÄÚÈݼò½é

¡¡¡¡This textbook is intended for students who wish to obtain an introduction to the theory of partial differential equations £¨PDEs£¬ for short£©£¬ in particular£¬ those of elliptic type. Thus£¬ it does not offer a comprehensive overview of the whole field of PDEs£¬ but tries to lead the reader to the most important methods and central results in the case of elliptic PDEs. The guiding question is how one can find a solution of such a PDE. Such a solution will£¬ of course£¬ depend on given constraints and£¬ in turn£¬ if the constraints are of the appropriate type£¬ be uniquely determined by them. We shall pursue a number of strategies for finding a solution of a PDE£» they can be informally characterized as follows£º