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Funkcialaj Ekvacioj
- Vol.60(2017)
  - No.2 p.133-
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Funkcialaj Ekvacioj Vol. 60(2017) No. 2

Identification Problems for Integrodifferential Equations with Delay: An Improvement of the Results by G. Di Blasio and A. Lorenzi

Angelo Favini, Hiroki Tanabe

Released: July 13, 2017

p.133-170

The hypothesis α ∈ L^p (−r, 0) made in the paper by G. Di Blasio and A. Lorenzi [2] on identification problems for integro-differential delay equations in Banach spaces is relaxed to a weaker one α ∈ L¹ (−r, 0). The method makes analogous relaxation possible for equations in Hilbert spaces investigated by G. Di Blasio, K. Kunisch and E. Sinestrari [3].

Point Process with Last-arrival-time Dependent Intensity and 1-Dimensional Incompressible Fluid System with Evaporation

Tetsuya Hattori

Released: July 13, 2017

p.171-212

We consider an infinite system of quasilinear first-order partial differential equations, generalized to contain spacial integration, which describes an incompressible fluid mixture of infinite components in a line segment whose motion is driven by unbounded and space-time dependent evaporation rates. We prove unique existence of the solution to the initial-boundary value problem, with conservation-of-fluid condition at the boundary. The proof uses a map on the space of collection of characteristics, and a representation based on a non-Markovian point process with last-arrival-time dependent intensity.

Evolution Differential Equations in Fréchet Space with Schauder Basis

Oleg Zubelevich

Released: July 13, 2017

p.213-237

We consider evolution differential equations in Fréchet spaces that possess unconditional Schauder basis and construct a version of the majorant functions method to obtain existence theorems for Cauchy problems. Applications to PDE and ODE have been considered.

Remarks on the Decay Rate of the Energy for Damped Modified Boussinesq-Beam Equations on the 1-D Half Line

Ruy Coimbra Charão, Ryo Ikehata

Released: July 13, 2017

p.239-257

We consider the mixed problem for weakly damped modified Boussinesq-Beam equations on the one dimensional half line (0, + ∞). We shall derive fast decay results of the total energy and L²-norm of solutions based on the idea due to [7], which is an essential modification of that developed by Morawetz [15]. In order to apply that idea due to [7] to the one dimensional exterior mixed problem, one also constructs an important Hardy-Sobolev type inequality, which holds only in the 1-D half line case.

A Remark on Norm Inflation with General Initial Data for the Cubic Nonlinear Schrödinger Equations in Negative Sobolev Spaces

Tadahiro Oh

Released: July 13, 2017

p.259-277

In this note, we consider the ill-posedness issue for the cubic nonlinear Schrödinger equation. In particular, we prove norm inflation based at every initial condition in negative Sobolev spaces below or at the scaling critical regularity.

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Volume And Issue List
Funkcialaj Ekvacioj

Funkcialaj Ekvacioj Vol. 60(2017) No. 2

Identification Problems for Integrodifferential Equations with Delay: An Improvement of the Results by G. Di Blasio and A. Lorenzi

Point Process with Last-arrival-time Dependent Intensity and 1-Dimensional Incompressible Fluid System with Evaporation

Evolution Differential Equations in Fréchet Space with Schauder Basis

Remarks on the Decay Rate of the Energy for Damped Modified Boussinesq-Beam Equations on the 1-D Half Line

A Remark on Norm Inflation with General Initial Data for the Cubic Nonlinear Schrödinger Equations in Negative Sobolev Spaces

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Volume And Issue List Funkcialaj Ekvacioj

Funkcialaj Ekvacioj Vol. 60(2017) No. 2

Identification Problems for Integrodifferential Equations with Delay: An Improvement of the Results by G. Di Blasio and A. Lorenzi

Point Process with Last-arrival-time Dependent Intensity and 1-Dimensional Incompressible Fluid System with Evaporation

Evolution Differential Equations in Fréchet Space with Schauder Basis

Remarks on the Decay Rate of the Energy for Damped Modified Boussinesq-Beam Equations on the 1-D Half Line

A Remark on Norm Inflation with General Initial Data for the Cubic Nonlinear Schrödinger Equations in Negative Sobolev Spaces

System Maintenance

Announcement From J-STAGE

Journal Tools

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Volume And Issue List
Funkcialaj Ekvacioj