一維波動方程cauchy問題解的適定性【畢業(yè)論文】

1、本科畢業(yè)論文本科畢業(yè)論文（2020屆）屆）一維波動方程Cauchy問題解的適定性所在學院專業(yè)班級數學與應用數學學生姓名學號指導教師職稱完成日期年月2ThewellposednessofthesolutionftheCauchyproblemoftheOneDimensionalWaveEquationAbstract:IntheclassofdinaryDifferentialEquationswehaveknownthesignifi

2、canceofthetheytoequationsfdepictingtherealisticproblems.ButmanyPhysicalphenomenasuchastheWavepropagationHeatconductioncannotbedepictedbydinaryDifferentialEquationswhichneedsPartialdifferentialequationstodescribe.Thewavee

3、quationisanimptanthyperbolicPartialdifferentialequations.TheresearchofthewellposednessofthesolutionoftheCauchyproblemoftheonedimensionalwaveequationplaysanimptantroleintheresearchofthehighdimensionwaveequation.Thispaperi

4、smainlytoreviewthewellposednessofthesolutionftheCauchyproblemoftheonedimensionalwaveequationmainlyusingthemethodofacteristicsFourierTransfmstoresearchthewellposednessofthesolutionfwhichtheCauchyproblemoftheonedimensional

5、waveequation.InadditiontosolvethesolutionftheCauchyproblemoftheonedimensionalwaveequationinexamples.Keywds:CauchyproblemoftheOneDimensionalwaveequationthewellposednessD′Alembertfmulathehomogeneoustheemthemethodofacterist