Errata for Partial Differential Equations

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1、ErrataforPartialDierentialEquations",AMSPressSecondEditionbyLawrenceC.EvansTheseerratacorrectmistakespresentintherstprintingofthesecondedition.Lastmodied:August30,2013.CHAPTER1CHAPTER2page25,line12:DeletethesentenceThiscorrects...(9)"page28,lines-9and-11:Changeto

2、C.5"page31,line-3:DeletetheC"page32,lines11-12:DeleteC"inthreeplacespage40,line6:Changethesecondin"toon"informula(42)page48,line-10:Changex0"to"page51,line-9:Changetoonhomogeneous"page54,line7:Shouldbe=0on@E(r)(0;0)"page76,line6:Deleteforallr2R;t0."page8

3、7,line5:Shouldbeu(x=jxj2)jxj2n".CHAPTER3page107,line6:ChangetoFxjFpjpage119,line13:Changeqtov(p;x)page120,line13:Changeqtovpage162,Problem6(b):Rewritetheproblemasfollows.AssumethatuisthesolutionofthegivenPDE,andderivetherepresentationformulau(x;t)=g(x(0;x;t))J(0;x;t

4、).page163,line10:Shouldbeut+divF(u)=0"CHAPTER4page197,line9:Shouldbe~u(s;!)="in(30)page203,line2:ShouldbeR+=(0;1)"page247,line-11:Delete=0"CHAPTER5page264,line7:ChangetoC.5"page265,line5:ChangetoC.5"page281,line10:Adddt"tosecondintegralpage284,line5:Removeextra

5、-"intheexponent12page289,line6:ShouldbeC.8"page303,line14:ChangetoExtendubyre ectionandcufotothelargerinterval.."CHAPTER6page352,line11:ChangetowhereRidenotesanotherremaindertermsuchthatjDvjjRijsatisesestimate(23)."page352,line-6:ShouldbeXnXnklk2222awxkxl+bwxk

6、jDvj+CjDvj:k;l=1k=1page366-367,Problem7:Assumealsoc(u)2L2andrephrasethequestiontoderivetheestimate2jjDujjL2CjjfjjL2:CHAPTER7page421,line-4:ShouldbeB(x;t;y)".RTpage428,lines-2and-4:Shouldbe(u;v0)


"0page446,line-7:Changeu=0"tov=0"CHAPTER8page505,line10:Changet

7、ojjI0[(u)]jj2"tpage517,line7:Changeboth(ex;ex)to(ex;et)page512,line15:Shouldbew:RnR!RRpage524,Problem17.Addsubjecttotheconstraintthatw2dx=U1"CHAPTER9page549,line2:Shouldbe1page566,line-9:Changetoform"page572,line3:ShouldbeDpLpage573,line9:Shouldbe;aft

8、er(0;1)CHAPTER10page580,line17:ShouldbexC.8"page604,lines-9and-11:ShouldbeH((Du)T+(u+(1)u+))where(Du)T:=Du(Du
)is