非線形偏微分方程式に対する適切性と非適切性の研究

项目来源

日本学术振兴会基金(JSPS)

项目主持人

岩渕 司 · · · (40634697)

项目受资助机构

東北大学 / · · ·

项目编号

25800069

立项年度

2013

立项时间

未公开

项目级别

国家级

研究期限

未知 / 未知

受资助金额

3510000.00日元

学科

未公开

学科代码

未公开

基金类别

若手研究(B)

关键词

偏微分方程式 / · · · / ベゾフ空間 · · · 適切性 / · · · / 時間大域解 · · · 非適切性 / · · · 方程式 ;

参与者

未公开

参与机构

未公开

项目标书摘要

未公开

  • 排序方式:
  • 1
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  • 1.Be··· s···es··· o··· s···

    • 关键词:
    • Besov spaces; Schrodinger operators; Potential of Kato class;SCHRODINGER-OPERATORS; WAVE-EQUATION; DECOMPOSITION; DISTRIBUTIONS;LIPSCHITZ
    • Iw···ch···Ts···sa···ts···ma···ok···Ta···uc··· K···hi
    • 《BU···TI···ES···IE···S ···HE···IQ···》
    • 2019年
    • 152卷
    • 期刊

    Th···pa··· i···ev···d ···gi···g ···in···on···f ···ov···ac···on··· a···tr··· o··· s···Om··· o···-n···a ··· s···tr···th···em···r ··· S···od···er···er···r ···h ··· D···ch··· b···da···co···ti··· T···cr···al···in···s ···in···du···so···te···fu···io···pa··· o···me··· T···fu···me···l ···pe···es··· B···v ···ce···re···so···ow···su···as···be···ng···la···ns···d ···li··· e··· F···he···re···he···om···hi···re···io···ar···st···is··· a···g ··· B···v ···ce···n ···ch···gu···it···f ···ct···s ···me···re···y ··· D···ch··· L···ac··· a···th···ch···in··· o···at···. ··· 2··· E···vi···Ma···n ···. ··· r···ts···se···d.

    ...
  • 2.TH···EM···OU···EN···TE···Y ··· D···CH··· L···AC··· O···RA···ON···OR···

    • 关键词:
    • semigroup; Dirichlet Laplacian; Besov spaces;CRITICAL SPACES; OPERATORS
    • Iw···ch···Ts···sa
    • 《AN···SI··· P··》
    • 2018年
    • 11卷
    • 3期
    • 期刊

    In···e ···le···ac···-d···in··· e···ma··· f···he···se···ro···in···so···pa··· a···we···es···li···d,···ic···re···ti···es··· L···- ··· t···, ···h ···im···re···ar···, ···. ···s ···er··· c···er··· w··· s··· e···ma··· f···th···em···ou···en···te···y ··· D···ch··· L···ac··· o···ra···on···or··· i···er···of···e ···ov···ac···on··· a···tr··· o··· s···of···d.

    ...
  • 3.Bo···ed···s ···sp···ra···ul···li··· f···Sc···di···r ···ra···s ···op···se··

    • 关键词:
    • Schrodinger operators; functional calculus; Kato class;THEOREMS; SPACES; HARDY
    • Iw···ch···Ts···sa···ts···ma···ok···Ta···uc··· K···hi
    • 《RE···TA···TE···IC···BE···ME···AN·》
    • 2018年
    • 34卷
    • 3期
    • 期刊

    Le···-v··· a···lf···jo··· e···ns··· o···he···hr···ng···op···to···De··· +···x)···th···e ···ic···t ···nd··· c···it··· o···n ···it···y ···n ··· O···a ···R-···wh··· d··· 1···d ··· n···ti···pa···of···te···al···be···gs··· t···Ka···cl··· o···me··· T···pu···se··· t··· p···r ···to···ov···-P···q ···im···s ··· g···ie···es···at···fo···n ···ra··· p···H-··· w···e ···is··· a···tr··· r···dl···ec···si···fu···io···n ···an···hi···v)··· d···ne···ia···e ···ct··· t···re··

    ...
  • 4.Ex···en···of···ld···lu···ns···r ···am···on···co···eq···io···it···ri···al···ac···na···is···it···n ··· B···v ···ce·

    • 关键词:
    • Hamilton-Jacobi equation; Fractional Laplacian; Asymptotic behavior;GLOBAL WELL-POSEDNESS; PARTIAL-DIFFERENTIAL-EQUATIONS; NONLINEARINTEGRAL-EQUATION; QUASI-GEOSTROPHIC EQUATION; FRACTAL BURGERSEQUATIONS; GENERALIZED HEAT KERNEL; INITIAL DATA; DIFFUSION; GROWTH;DECAY
    • Iw···ch···Ts···sa···wa···i,···ts···
    • 《JO···AL··· M···EM···QU···PU··· E···PP···UE··》
    • 2017年
    • 107卷
    • 4期
    • 期刊

    We···ns···r ··· C···hy···ob··· f···th···am···on···co···eq···io···it···ri···al···ss···ti···pa···al···ri···iv···)u···(-···ta···/2···= ···ti··· b···de··· v···ic···ba···),···is··· e···en···f ···, ··· 0···(x··· =···0)···, ···s ···el···nt··· R···wh··· p···1 ··· u··· i···n ···me···of···ta···1(···()···bo···an···D ···nf···ty···1)···N)···th···is··· e···en···f ···in···it··· W···ho···ha···or···ff···en··· s···l ···) ···an···em··· o···et···)(···in···,1···-N···th··· e···ts···gl···l-···ti···mi···so···io···Fu···er···e,··· p···e ···t ··· s···ti···be···es···ym···ti···ly···ke···it···e ···ti···es··· t···Po···on···rn··· (···20···El···ie···as··· S··· A···ri···s ···er···.

    ...
  • 5.Gl···l ···ut···s ··· t···in···pr···ib···ro···in···ta··· s···ti···d ···id·

    • 关键词:
    • The rotating Boussinesq equations; the stable stratification; theStrichartz estimates;NAVIER-STOKES EQUATIONS; EULER EQUATIONS; VORTEX PATCHES;WELL-POSEDNESS; CONVERGENCE; ASYMPTOTICS; FRAMEWORK; SYSTEM
    • Iw···ch···Ts···sa···ha···, ···x;···ad···Ry·
    • 《MA···MA···CH···AC···CH···》
    • 2017年
    • 290卷
    • 4期
    • 期刊

    We···ns···r ··· i···ia···al···pr···em··· t···3D···co···es···le···us···es···qu···on···or···ta···g ···at···ed···ui··· W···st···is···he···sp···iv···nd···e ···ic···tz···ti···es···r ··· l···ar···op···to···ss···at···wi···bo···th···ot···on···d ··· s···le···ra···ic···on···s ···ap···ca···n,··· g··· a···mp···pr··· o··· u···ue···is···ce··· g···al··· t··· s···ti··· t···ur···st···us··· j··· a···nt···ti···ma···ng···in···le···C)···16···LE···CH···rl···Gm···& ··· K···, ···nh···

    ...
  • 6.On···e ···st···e ···e ···lo··· s···ti··· f···cr···ca···em···ne···Sc···di···r ···at···s ···So···ev···ac··

    • 关键词:
    • KLEIN-GORDON EQUATIONS; GLOBAL-SOLUTIONS; CAUCHY-PROBLEM; SITTER SPACETIME; WAVE-EQUATIONS; NONLINEARITY; DIMENSIONS; POSEDNESS; GROWTH
    • Iw···ch···Ts···sa···ka···a,···ko··
    • 《NO···NE···AN···SI···EA···OR···AP···CA···NS》
    • 2017年
    • 33卷
    • 期刊

    Th···xi···nc···im···f ···al···lu···ns··· s···li···r ···ro···ge···qu···on···n ···ol···sp···s ···co···de··· b···d ···th···et··· o···re···nc···ec···os···on···he···mi···ea···er···ar···ow···ty···or···po···ti···ty··· w···h ··· c···ic···in···rm···f ··· s···in···r ··· T···in···-M···r ···qu···ty···he···is···ce···me··· e···ma··· b···he···w ··· h··· f···ue··· p···s ···da··· (···20···El···ie···td···ll···gh···re···ve··

    ...
  • 7.On···e ···st···e ···e ···lo··· s···ti··· f···cr···ca···em···ne···Sc···di···r ···at···s ···So···ev···ac··

    • 关键词:
    • ;Cauchy problems;Dinger equation;Exponential type;Frequency decomposition;Low and high frequencies;Semilinear
    • Iw···ch···Ts···sa···ka···a,···ko··
    • 《No···ne···An···si···Re···Wo··· A···ic···on·》
    • 2017年
    • 33卷
    • 期刊

    Th···xi···nc···im···f ···al···lu···ns··· s···li···r ···rö···ge···qu···on···n ···ol···sp···s ···co···de··· b···d ···th···et··· o···re···nc···ec···os···on···he···mi···ea···er···ar···ow···ty···or···po···ti···ty··· w···h ··· c···ic···in···rm···f ··· s···in···r ··· T···in···–M···r ···qu···ty···he···is···ce···me··· e···ma··· b···he···w ··· h··· f···ue··· p···s ···da··· ©···16···se···r ···

    ...
  • 8.Il···os···es···or···sy···m ···qu···at···no···ne···Sc···di···r ···at···s ···tw···im···io··

    • 关键词:
    • System of nonlinear Schrodinger equations; Ill-posedness; Norminflation; Mass resonance;LOCAL WELL-POSEDNESS; CAUCHY-PROBLEM; MODULATION
    • Iw···ch···Ts···sa···aw···Ta···os···Ur···, ···a
    • 《JO···AL··· F···TI···L ···LY···》
    • 2016年
    • 271卷
    • 1期
    • 期刊

    Th···pa··· c···er···th···ll···se···ss···su···or···sy···m ···qu···at···no···ne···Sc···di···r ···at···s ···tw···im···io··· F··· p···io···st···es···r ··· l···e ···e ···av··· o···he···lu···n ···th···ys···, ··· m···ex···t ···t ··· c···ic···re···ar··· t···ho···he···ll···se···ss···pe··· o···he···sp···io···oe···ci···s.··· p···e ··· i···po···ne··· w···ho···he···il··· o···he···if··· c···in···y ···th···at···ol···on···p ··· t···ma···re···an···ca···an···ho···he···rm···fl···on···r ···er···se···(C···01···he···th···. ···li···d ···El···ie···nc·

    ...
  • 9.IL···OS···ES···OR···E ···DR···C ···LI···R ···RO···GE···QU···ON···TH···NL···AR··· v···ic···ba··· v···ic···ba···)

    • 关键词:
    • Nonlinear Schrodinger equation; ill-posedness; norm inflation;LOCAL WELL-POSEDNESS; CAUCHY-PROBLEM; SPACES
    • Iw···ch···Ts···sa···iy···Ko··
    • 《CO···NI···IO···ON···RE···D ···LI···AN···SI·》
    • 2015年
    • 14卷
    • 4期
    • 期刊

    We···e ···ce···d ···h ··· i···po···ne···is··· f···th···on···ea···ch···in··· e···ti···wi···th···ua···ti···on···ea···y ···ti··· b···u ···ti··· b···2)···d ···ve···e ···m ···la···n ···th···im···io···1 ···n ···3.···is··· t···ex···si···of···e ···-p···d ···ul···y ···hi···o-···ga···[1···in···e ···en···n ··· a··· t···re···ni···ca···of···ab···i-···wa···].

    ...
  • 10.Gl···l ···ut···s ··· t···cr···ca···ur···s ···at··· i···he···so···pa··· a···th···ar···ti···be···io·

    • 关键词:
    • Poisson equation;Besov spaces;Burgers equations;Cauchy problems;Global solutions;Large time behavior;Poisson kernel
    • Iw···ch···Ts···sa
    • 《An···es··· l···st···t ···ri···in···e ··· A···ys···on···ne···e》
    • 2015年
    • 32卷
    • 3期
    • 期刊

    Ab···ac···e ···si··· t···Ca···y ···bl···fo···he···it···l ···ge···eq···io···Th···xi···nc···nd···e ···qu···ss··· g···al···lu···ns···r ···ll···it··· d··· a···st···ed··· t···Be··· s···e ···,1···db···) ··· i···s ···wn···at···e ···ba···ol···on···re···un··· i···im···We···so···ud···he···rg···im···eh···or··· t···so···io···wi···th···ni···l ···a ···L1···db···)∩···,1···db···) ···sh···th···th···ol···on···ha··· l··· t···Po···on···rn··· ©···14···se···r ···so···AS·

    ...
  • 排序方式:
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