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## uʃZ~i[v 2018N28()

kw wȍWKWOP
ꔭ\ҁF14:00--15:00
Mikolaj Sierzega iUniversity of Warsawj
Li-Yau-Hamilton type inequalities and their application to the regularity theory for the Fujita equation
v|
Li-Yau-Hamilton type inequalities lie at the heart of the regularity theory for the Ricci flow. Somewhat unexpectedly they appear to be also central to the regularity theory for "flat" semilinear parabolic equations. In my talk I will sketch how these extraordinary inequalities emerge in the study of blow-ups for the Fujita equation.
񔭕\ҁF15:30--16:30
Minjie Shan iKyoto Universityj
Local well-posedness for the two-dimensional Zakharov-Kuznetsov equation
v|
The initial value problem for the two-dimensional Zakharov-Kuznetsov equation is locally well-posed in $H^{s}(\mathbb{R}^2)$ when $\frac{1}{2} < s$. Local well-posedness in $H^\frac{1}{2}(\mathbb{R}^2)$ corresponds to the non-admissible endpoint Strichartz estimate, however we combine one kind of sharp Strichartz estimate with modulation decompose technique to obtain local well-posedness in $B^\frac{1}{2}_{2,1}(\mathbb{R}^2)$ which is a subspace of $H^\frac{1}{2}(\mathbb{R}^2)$.

## uWuv 2018N122(), 23(), 25()

22() 13:00 -- 14:30 : kw w wQKQOP
23(), 25() 16:00 -- 17:30 : kw wȍWKWOP
ut
Reinhard Farwig iTechnische Universität Darmstadt, Germanyj
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The two-dimensional quasi-geostrophic equations with fractional dissipation in the subcritical range
vO
pdf t@CQƉ.

## 2018N 1 22 () 14:45--15:45

kw w wQKQOP
\
R k ikw w@wȁj
uAbresch-Langer^̕ʕȐɑ΂铙sƂ̉pv

## 2018N 1 18 () 13:00--15:30

kw w z[
ꔭ\
O fm ikw w@wȁj
ǔLqlK^̉̎ԑ拓v
񔭕\
z ikw w@wȁj
uBernstein@ɂSLipschitz]v

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ut
B Ǎs iBww@j
u
k̕̕E萫
vO
ڍׂ͂QƉD

## 2018N 1 15 () 13:00--15:30

kw w wQKQOP
ꔭ\
l ikw w@wȁj
ut^|eVM̉̎ԑ拓v
񔭕\
R ^Rq ikw w@wȁj
uׂȉ~^-^n̉̓Ilv

## 2018N 1 10 () 16:00--18:15

kw wȍWKWOP
ꔭ\ҁF16:00--17:00
c ikw w@wȁj
uǏIȕUΔ̎Uv
񔭕\ҁF17:15--18:15
c \S ikw w@Ȋwȁj
uVfBK[ɂmCY̕ʂɂāv

## 2017 N 12 21 () 14:40--18:10

kw wȍWKWOP
ꔭ\ҁF14:40--15:40
ÒJ o ikw w@wȁj
uSetUg݂̉̑ƃCtXpɂāv
񔭕\ҁF15:55--16:55
ikw w@wȁj
uՊEx]tԏ̎C̕n̉̔ɂāv
O\ҁF17:10--18:10
ikw w@wȁj
u񎟂̔VfBK[n͓̉̉Iʁv

## 2017 N 12 14 () 16:00--17:30

kw wȍWKWOP
\
ؑ l (wȊwn)
1xGlM[̍ŏ̉
v|
ݍp闱qxGlM[̍ŏ̑qɌƂēCmx̃NXɂŏ̎̈ӑ݂Ɖ̐c_DwSobolevԂɂŏƁC1Fredholm^ِϕƂ̓lCKpAIȉ\pāC̐Ȑ𓱂D{̓pgbNE@}[XijƂ̋ arxiv.org/abs/1710.00282 ɊÂ̂łD

## 2017 N 12 7 () 16:00--17:30

kw wȍWKWOP
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ؑ II (kw)

v|
c^̔^K̑oȌ^E^Δnɑ΂, ԑ̍\s. l@n̎v͔M ê̂̕ł, Ή^ɂ̌]ƂđoȌ^, ^̑ỏe󂯂̂mĂ. {\ł, ỦerԌ]𓱓ēꂽԑ̍\ɂĕ񍐂.

## 2017 N 11 30 () 16:00--17:30

kw wȍWKWOP
\
ዷ O (BHƑw)
ȉ~ϕvZɂŗLl̉͂Ƃ̉p
v|
1gUɂẮAɕtŗLľŗL֐𒼐ڕ\邱Ƃ\Ȃ̂B̏ꍇΉŗLl͑3ȉ~ϕƂ钴z̉ƂČ肳B{\ł1XJ[tB[hɂƂAŗL֐̕\ёȉ~ϕ̉͂ɊÂŗLľvZXB܂ẢpƂāAŗLlьŗL֐̑Qߌ𓱂B

xijFΘJӂ̓j

## 2017 N 11 16 () 16:00--17:30

kw wȍWKWOP
\
Yung-fu Fang (National Cheng Kung University)
Local Ill-Posedness Problem for the Quantum Zakharov System in 1D
v|
We manily discuss the local Ill-posedness problem for the quantum Zakharov system, (QZ), in 1D. Following the work of Holmer, [H], we prove some results for (QZ) in 1D, such as the norm inflation of the wave part, the phase decoherence of the Schrödinger part, and the data-to-solution map is not C2. Also we improve the Holmer's result to a slightly larger region for the regularities of the Schrödinger and the wave of the classical Zakharov system in 1D.
We will also briefly discuss some other results of (QZ), including the LWP, GWP, Schrödinger limit, semi-classical limit, and stbility of standing waves.
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[H] Holmer-2007-Local Ill-Posedness of the 1D Zakharov System

## 2017 N 11 9 () 16:00--17:30

kw wȍWKWOP
\
Tristan Roy (Éw Ȋw)
On Jensen-type inequalities for unbounded radial scattering solutions of barely supercritical Schrödinger equations
v|
In this talk I will focus on the asymptotic behavior of unbounded radial solutions of semilinear Schrödinger equations with a barely supercritical nonlinearity (i.e a nonlinearity that grows faster than the critical power but not faster than a logarithm). It is known that we have scattering of bounded radial solutions of defocusing loglog energy-supercritical Schrödinger equations. I will recall the techniques used to prove this result. Then I will explain how we can use Jensen-type inequalities to prove scattering of unbounded radial solutions of defocusing loglog energy-supercritical Schrödinger equations and unbounded radial solutions below ground state of focusing size-dependent log energy-supercritical Schrödinger equations.

## 2017 N 11 2 () 16:00--17:30

kw wȍWKWOP
\
(w w)
Large exponent behavior of power-type nonlinear evolution equations and applications
v|
Motivated by applications in image processing, we study asymptotic behavior for the level set equation of power curvature flow as the exponent tends to infinity. When the initial value is assumed to be convex, the limit equation can be characterized as a stationary obstacle problem involving 1-Laplacian. We discuss various properties of the obstacle problem and show the convergence of the power curvature flow. We also@discuss the large exponent asymptotics for non-convex initial values and applications related to a model describing unstable sandpiles. Part of this talk is based on joint work with Prof. N. Yamada at Fukuoka University.

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## 2017 N 10 19 () 16:00--17:30

kw wȍWKWOP
\
Γn (Rw w)
l̘̂Aa̔Mj]
v|
PXWUNALi,Yauɂ Ricciȗ񕉂̔RpNg[}l̏ ŏؖꂽMj̗ Gauss ^] (Li-Yau^]j́Ǎ Moser, Davies, Grigor'yan, Saloff-Coste ɂ Poincares HarnacksȂǂ XyNg􉽓IAa͓IȏƂ̊֘A炩ƂȂB {\ł͔Mj Li-Yau^]ȂT^IȗƂČÂmĂAa ̔Mj̃V[vȕ]ɂďqׂB {\ BielefeldwAlexander Grigor'yanACornellw Laurent Saloff-CosteƂ̋ɊÂB

## 2017 N 10 12 () 16:00--17:30

kw wȍWKWOP
\
av mi ikw w@wȁj
ʗՊEwɂމڗgỦ̔LEƎʋÏW̕]
v|
ʗՊEwɂމڗgŮɘadݏɂ̔LE LԂŔ鋅Ώ̉̎ʋÏWۂl@B މڗgUɌfM萔̒lɂĉ̎ԑ拓قȂƒmĂB ɁAsςɕۂړxϊƑʂۂړxϊv鎿ʗՊEwɂāA̎ԑ摶݂ƗLԔ𕪗ނ 鏉l̑ʂ臒lmĂB {\ł́Am̏dݕtԂɂvirial@ʉAԉɂ鐧ۂȂꍇɉ̔LEU\ qׂB ɁALԔ鋅Ώ̉ɑ΂āAʂ̋ÏW̕]^B

## WuNonlinear Partial Differential Equations for Future Applications -Geometry and Inverse Problems- in cooperation with A3 FORESIGHT PROGRAM v 2017N 102ij13:10 -- 106ij19:30

2ij13:10 -- 5i؁j: kwtRLpX Ȋw
6ij10:00: kwЕLpX m̊(Tokyo Electron House of creativity) 3K u
vO
ڍׂ͂QƉD

## 2017 N 8 21 () 14:00--15:30

iʏ̉̓Z~i[ƗjEꏊقȂ܂̂łӉj
kw w w2K209
\
Claudio Fernandez (Pontificial University in Chile)
Quantum resonances and exponential decay
v|
pdf t@CQƉD

## WuNonlinear Partial Differential Equations for Future Applications -Hyperbolic and Dispersive PDE-v 2017N 724ij13:55 -- 728ij14:25

kwЕLpX m̊(Tokyo Electron House of creativity) 3K u
vO
ڍׂ͂QƉD

kw w z[
vO
ڍׂ͂QƉD

## WuNonlinear Partial Differential Equations for Future Applications -Evolution Eq. and Mathematical Fluid Dynamics-v 2017N 710ij18:30 -- 714ij13:00

kwЕLpX m̊(Tokyo Electron House of creativity) 3K u
vO
ڍׂ͂QƉD

## 2017 N 7 6 () 16:00--17:30

kw wȍWKWOP
\
c l iȑw wj
Strong instability of standing waves for nonlinear Schrödinger equations with a partial confinement
v|
1̒a|eVN̔VfBK[̒ݔg̋Ӗł̕s萫ɂčlBŁAݔĝǂȋ߂ɂLԂŔ݂ƂA̒ݔg͋ӖŕsłƂB|eVɂ鑩ȂN-1ɂL2ՊE܂͗DՊE̔p̏ꍇAׂĂ̊ԁEݔg͋Ӗŕsł邱ƂB

## 2017 N 6 29 () 16:00--17:30

kw wȍWKWOP
\
OY pV iHƑw w@񗝍Hwȁj
On uniqueness for the supercritical harmonic map heat flow
v|
We examine the question of uniqueness for the equivariant reduction of the harmonic map heat flow in the energy supercritical dimension. It is shown that, generically, singular data can give rise to two distinct solutions which are both stable, and satisfy the local energy inequality. We also discuss how uniqueness can be retrieved. This is a joint work with Pierre Germain and Tej-Eddine Ghoul.

## 2017 N 6 22 () 16:00--17:30

kw wȍWKWOP
\
|c@u iHƑw@Hwj
Ug̉̑Qߌɂ
v|
Ug̏lɑ΂鎞ԑ̑Qߌɂčl@. ܂, PQߌ͊gUgŗ^邪, ̌W̏lˑ]̏U^g̉̑QߌƈقȂ邱ƂɂČy. , l̋ԉł̌ɉ̍QߓWJp, QQߌ̓s. {\̓ëꕔ, rǎ(L)Ƃ̋ɊÂ.

kw w@w z[
ut
iw Hwj
u
gU̐isg
vO
ڍׂ͂QƉD

## 2017 N 6 8 () 16:00--17:30

kw wȍWKWOP
\
Z q iRȑwwpwȁj
Long range scattering for nonlinear Schrödinger equation with critical homogeneous nonlinearity in 3d
v|
Schrödinger̉̑QߋIl̘gg݂ōl@. ՊEpꍇɂ͉̑Qߋ͔̍\Ɉˑ ƂmĂ. Kł͂Ȃʂ̗ՊEĎl, ̑Qߋ(C)RɂȂ邽߂̏\^. ܂, ̑2ߎɊւ镔IȌʂ^. {\葏(w), {蔹l(ÎR)Ƃ̋ɊÂ.

## 2017 N 6 1 () 16:00--17:30

kw wȍWKWOP
\
@ ikwEޗȊwj
Տw̏ɑ΂鐔ȊwIAv[
v|
{\ł́AՏw̗lXȖɑ΂ĐȊwւĂƂ\ȕɂďqׂBɁA哮ɂ錌ɂƂAaԂɉeyڂl\邽߂̊􉽊wIʒo@Ȁڍׂm邽߂̐l͎@Ayы@BwKɂ\@ɂďqׂBǌɂ͌l傫Ǎ̓ƕaԂƂ̊֌W𒲂ׂ邱Ƃɂė\\ɂȂ邱Ƃ҂ĂB{\ł́Â悤ȐȊwƗՏwƂ̋̉c݂ЉẢ\ɂčlB @{́AȊwZpU@\̐헪IniCREST ɂvWFNguՏÂɂ鐔fO̐VȓWJvƂĐi߂Ă̂ŁAAc玁i]tfBJZ^[ːȁjAꎓꎁiww@ȊwȁjA򌤓񎁁icwHwp@jAJFiLsww@ȊwȁjƂ̋łB

## 2017 N 5 25 () 16:00--17:30

kw wȍWKWOP
\
F iRȑw@wEpwȁj
ِH-ߐHf̉̑Qߋɂ
v|
{\ł͗LËɂِHߐHҌnɑ΂锽gU l@B O2̖m֐ɊւgUW傫قȂVhEn Cԑ̑QߋƗLԂł̏ŉ݂̑c_B㔼 IWĩVXeɑ΂Cԑ̒ւ̎Cюւ Q߂ɂēꂽʂЉB

## 2017 N 5 18 () 16:00--17:30

kw wȍWKWOP
\
lG iOOwwj
Time periodic strong solutions to the Navier-Stokes equations in the weak $L^n$ space
v|
{\ł́ASԂɂ񈳏kirGEXg[NX Ԏl@B̎ԎɂẮA Kozono-Nakao(1996)ɂϕɂ莮ȂA cE̎@ɂăx[OԂ̘gg݂ŉ݂̑ mĂBニx[OԂɂẮAアӖł ϕ̉Yamazaki(2000)ɂ蓾ĂB{ ł́Aニx[OԂɂĒʏ̐ϕ̉A⊮Ԙ_ ÂMeyer̎@ɂ\B܂A\ϕ $L^n$Ԃ̈ʑŔ𖞂Ƌyтׂ̈̊O͂̏l@B

## 2017 N 5 11 () 16:00--17:30

kw wȍWKWOP
\
J iwwȐwUj
Strichartz and smoothing estimates for Schrodinger equations with scaling-critical potentials
v|
̍\玩Rɒ܂ړxɑ΂ėՊEȃXJ[|eVۓ VfBK[̉ɑ΂鎞ԕ]ɂčl@B T^͋txL|eVB̓T^܂ތ_ɂ̂ݓِ ړxՊEȃ|eV̏ꍇɁABurq et al (2003, 2004) ͐Ď[_ Strichartz ]ؖB {\ł́Aِ̓ALNX̎ړxՊE|eVɑ΂ Ď[_ Strichartz ]܂ގԑIȎԕ]ɂāAŋߓꂽʂЉB {\ Jean-Marc Bouclet (Toulouse) Ƃ̋ɊÂB

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## 2017 N 4 27 () 16:00--17:30

kw wȍWKWOP
\
ΓnN iŉYHƑwVXeHwȊwȁj

v|
ŋߔɂČĂQ̘bɂĔ\B ǂAgU𖳎A邢́A^CO[Ƃē ncd̉̔ۂƂ͈قȂ鐫LBɂĐw ͂ѐl͂̌ʁiLj񍐂B PDȗɊ֘A邠鏀^̏lEl ɂāA]type IȊ݂mĂA ̓IȔ[gIȏ󋵉ł͂邪ꂽ̂ŁA ĊTBicƂ̋j QDLɂāALlɂĒׂ邽߂ɁAXP[ sϐ𗘗p[g̐@̃ACfBAqׁA ̓IȖɂĐľʂЉBicA Ƃ̋j RDQ߈ȃ~bgTCNUqfɎԒx ꂽxnlB̖ɑ΂āACӂ̐̎ xɑ΂Ĕ݂邱(delay-induced blow-up)A o邱ƂqׂBXɁA̔ɂ鎞ԔW̓r ̋ɁA̎̐eĂ邱Ƃ鐔lvZ Ȃǂɂĕ񍐂BԂ΁AԒx̔̐lvZ L̓ɂĂqׁAݗpĂ@ɂĐB iΓnbqAcsFAO؏Ƃ̋j

## 2017 N 4 20 () 16:00--17:30

kw wȍWKWOP
\
Marek Fila iDepartment of Applied Mathematics and Statistics, Comenius Universityj
Slow growth of solutions of super-fast diffusion equations with unbounded initial data
v|
We study positive solutions of the super-fast diffusion equation in the whole space with initial data which are unbounded. We find an explicit dependence of the slow temporal growth rate of solutions on the initial spatial growth rate. A new class of self-similar solutions plays a significant role in our analysis. This is a joint work with Michael Winkler.

## 2017 N 4 13 () 16:00--17:30

kw wȍWKWOP
\
mikw w@wȁj
c^̓ٓ_
v|
{\ł͓c^ɑ΂CԈˑē_ɓِ悤ȉ̍\ɂďqׂD ܂Ĉׂ̎wl菬ꍇCى\邽߂ɂ͂O͕tΗǂƂƂqׂD āC̊O͕tɉ݂邽߂́CO͂̑xɊւKvƏ\ꂼ^D܂Cى̊eɂٓ_ߖTł̌`ɂĂqׂD Ȃ{\̓e͐OiHƑwjƂ̋ɊÂD