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1、LokenathDebnathNonlinearPartialDifferentialEquationsforScientistsandEngineersSecondEditionBirkhauser¨Boston•Basel•BerlinLokenathDebnathUniversityofTexasPan-AmericanDepartmentofMathematicsEdinburg,TX78539-2999USAAMSSubjectClassifications:00A06,00A69,33Exx,33E12,34B05,34B24,34B27
2、,34B60,34G20,34G25,35-01,35-02,35A15,35A21,35A22,35A25,35C05,35C15,35Dxx,35E05,35E15,35Fxx,35F05,35F10,35F15,35F20,35F25,35G10,35G20,35G25,35J05,35J10,35J15,35J20,35K05,35K10,35K15,35K55,35K60,35L05,35L10,35L15,35L20,35L25,35L30,35L60,35L65,35L67,35L70,35Q30,35Q35,35Q40,35Q51,
3、35Q53,35Q55,35Q58,35Q60,35Q80,42A38,44A10,44A35,49J40,49Lxx,58E30,58E50,65L15,65M25,65M30,65R10,70H05,70H06,70H09,70H20,70H25,70H30,76Bxx,76B07,76B15,76B25,76B55,76B60,76B65,76D05,76D33,76E30,76M30,76R50,78M30,81Q05,81Q10LibraryofCongressCataloging-in-PublicationDataDebnath,Lo
4、kenath.Nonlinearpartialdifferentialequationsforscientistsandengineers/LokenathDebnath.-2nd.ed.p.cm.Includesbibliographicalreferencesandindex.ISBN0-8176-4323-0(acid-freepaper)1.Differentialequations,Nonlinear.I.Title.QA377.D472004515.353dc222004052899ISBN0-8176-4323-0Printedona
5、cid-freepaper.c2005BirkhauserBoston¨Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrit-tenpermissionofthepublisher(BirkhauserBoston,c/oSpringerScience¨+BusinessMediaInc.,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwith
6、reviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterde-velopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarksandsimilarterms,eve
7、niftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.PrintedintheUnitedStatesofAmerica.(SB)987654321SPIN10904213www.birkhauser.comTOMYMOTHERwithlove,gratitude,andadmirationTrueLawsofNaturecannotbelinear.ALBERTEINST
8、EIN...theprogressofphysicswilltoalargeextentdependontheprogre
