01553nam a2200265 a 450000500170000002000180001708200170003510000170005224500540006925000230012326000610014630000320020749000450023950000640028460000080034863000360035663000980039285600060049085600060049696400160050296506660051899700130118499900190119795200710121620251203112553.0 a9781470409210 a515.353bHAN aHan, Qingd_ aBasic course in partial differential equationsb_ aIst Indian ed.2013 aProvidence, R.I.USAbAmerican Mathematical Societyc2011 ax, 293 p.bill.c26 cm.bPB aGraduate studies in mathematicsdv. 120. aIncludes bibliographical references (p. 289-290) and index. bc_ aDifferential equations, Partial aPartial differential equations -- Instructional exposition (textbooks, tutorial papers, etc.) f_ a_ bcdefg_ aThis is a textbook for an introductory graduate course on partial differential equations. Han focuses on linear equations of first and second order. An important feature of his treatment is that the majority of the techniques are applicable more generally. In particular, Han emphasizes a priori estimates throughout the text, even for those equations that can be solved explicitly. Such estimates are indispensable tools for proving the existence and uniqueness of solutions to PDEs, being especially important for nonlinear equations. The estimates are also crucial to establishing properties of the solutions, such as the continuous dependence on parameters. a203926 C c163685d163685 00104070aPUbPUd2016-04-02g576.00l0o515.353 HANp203926yBK