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On the Summability of Formal Solutions of Some Linear q-Difference-Differential Equations 一类线性q-差分-微分方程形式解的可和性
IF 0.3 4区 数学
Funkcialaj Ekvacioj-Serio Internacia Pub Date : 2018-04-06 DOI: 10.1619/fesi.63.259
H. Tahara
{"title":"On the Summability of Formal Solutions of Some Linear q-Difference-Differential Equations","authors":"H. Tahara","doi":"10.1619/fesi.63.259","DOIUrl":"https://doi.org/10.1619/fesi.63.259","url":null,"abstract":"The paper shows the summability of formal solutions of some linear q-difference-differential equations by using q-Laplace and q-Borel summation method.","PeriodicalId":55134,"journal":{"name":"Funkcialaj Ekvacioj-Serio Internacia","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2018-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43335552","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Remarks on Semiclassical Wavefront Set 关于半经典波前集的评述
IF 0.3 4区 数学
Funkcialaj Ekvacioj-Serio Internacia Pub Date : 2018-03-08 DOI: 10.1619/fesi.64.189
Kentaro Kameoka
{"title":"Remarks on Semiclassical Wavefront Set","authors":"Kentaro Kameoka","doi":"10.1619/fesi.64.189","DOIUrl":"https://doi.org/10.1619/fesi.64.189","url":null,"abstract":"The essential support of the symbol of a semiclassical pseudodifferentail operator is characterized by semiclassical wavefront sets of distributions. The proof employs a coherent state whose center in the phase space is dependent on Plank's constant.","PeriodicalId":55134,"journal":{"name":"Funkcialaj Ekvacioj-Serio Internacia","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2018-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43107773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Existence of Ground States for a Nonlinear Klein-Gordon-Maxwell Type System 非线性Klein-Gordon-Maxwell型系统基态的存在性
IF 0.3 4区 数学
Funkcialaj Ekvacioj-Serio Internacia Pub Date : 2018-01-01 DOI: 10.1619/FESI.61.1
M. Colin, Tatsuya Watanabe
{"title":"On the Existence of Ground States for a Nonlinear Klein-Gordon-Maxwell Type System","authors":"M. Colin, Tatsuya Watanabe","doi":"10.1619/FESI.61.1","DOIUrl":"https://doi.org/10.1619/FESI.61.1","url":null,"abstract":"In this paper, we study a nonlinear Klein-Gordon equation coupled with a Maxwell equation. Introducing a new constraint minimization problem, we prove the existence of ground states for an associated stationary elliptic system.","PeriodicalId":55134,"journal":{"name":"Funkcialaj Ekvacioj-Serio Internacia","volume":"18 1","pages":"1-14"},"PeriodicalIF":0.3,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81142737","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Limiting Absorption Principle and Radiation Condition for Repulsive Hamiltonians 排斥哈密顿量的极限吸收原理和辐射条件
IF 0.3 4区 数学
Funkcialaj Ekvacioj-Serio Internacia Pub Date : 2017-11-15 DOI: 10.1619/fesi.64.199
K. Itakura
{"title":"Limiting Absorption Principle and Radiation Condition for Repulsive Hamiltonians","authors":"K. Itakura","doi":"10.1619/fesi.64.199","DOIUrl":"https://doi.org/10.1619/fesi.64.199","url":null,"abstract":"For spherically symmetric repulsive Hamiltonians we prove the Besov bound, the radiation condition bounds and the limiting absorption principle. The Sommerfeld uniqueness result also follows as a corollary of these. In particular, the Hamiltonians considered in this paper cover the case of inverted harmonic oscillator. In the proofs of our theorems, we mainly use a commutator argument invented recently by Ito and Skibsted. This argument is simple and elementary, and dose not employ energy cut-offs or the microlocal analysis.","PeriodicalId":55134,"journal":{"name":"Funkcialaj Ekvacioj-Serio Internacia","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2017-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43353550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Life-span of Blowup Solutions to Semilinear Wave Equation with Space-dependent Critical Damping 具有空间相关临界阻尼的半线性波动方程爆破解的寿命
IF 0.3 4区 数学
Funkcialaj Ekvacioj-Serio Internacia Pub Date : 2017-09-13 DOI: 10.1619/fesi.64.137
M. Ikeda, M. Sobajima
{"title":"Life-span of Blowup Solutions to Semilinear Wave Equation with Space-dependent Critical Damping","authors":"M. Ikeda, M. Sobajima","doi":"10.1619/fesi.64.137","DOIUrl":"https://doi.org/10.1619/fesi.64.137","url":null,"abstract":"This paper is concerned with the blowup phenomena for initial value problem of semilinear wave equation with critical space-dependent damping term (DW:$V$). The main result of the present paper is to give a solution of the problem and to provide a sharp estimate for lifespan for such a solution when $frac{N}{N-1}<pleq p_S(N+V_0)$, where $p_S(N)$ is the Strauss exponent for (DW:$0$). The main idea of the proof is due to the technique of test functions for (DW:$0$) originated by Zhou--Han (2014, MR3169791). Moreover, we find a new threshold value $V_0=frac{(N-1)^2}{N+1}$ for the coefficient of critical and singular damping $|x|^{-1}$.","PeriodicalId":55134,"journal":{"name":"Funkcialaj Ekvacioj-Serio Internacia","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2017-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44915881","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Uniform Energy Decay for Wave Equations with Unbounded Damping Coefficients 具有无界阻尼系数的波动方程的均匀能量衰减
IF 0.3 4区 数学
Funkcialaj Ekvacioj-Serio Internacia Pub Date : 2017-06-13 DOI: 10.1619/fesi.63.133
R. Ikehata, H. Takeda
{"title":"Uniform Energy Decay for Wave Equations with Unbounded Damping Coefficients","authors":"R. Ikehata, H. Takeda","doi":"10.1619/fesi.63.133","DOIUrl":"https://doi.org/10.1619/fesi.63.133","url":null,"abstract":"We consider the Cauchy problem for wave equations with unbounded damping coefficients in the whole space. For a general class of unbounded damping coefficients, we derive uniform total energy decay estimates together with a unique existence result of a weak solution. In this case we never impose strong assumptions such as compactness of the support of the initial data. This means that we never rely on the finite propagation speed property of the solution, and we try to deal with an essential unbounded coefficient case.","PeriodicalId":55134,"journal":{"name":"Funkcialaj Ekvacioj-Serio Internacia","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2017-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46229018","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 11
Compressible Fluid Model of Korteweg Type with Free Boundary Condition: Model Problem 具有自由边界条件的Korteweg型可压缩流体模型：模型问题
IF 0.3 4区 数学
Funkcialaj Ekvacioj-Serio Internacia Pub Date : 2017-05-01 DOI: 10.1619/fesi.62.337
Hirokazu Saito
{"title":"Compressible Fluid Model of Korteweg Type with Free Boundary Condition: Model Problem","authors":"Hirokazu Saito","doi":"10.1619/fesi.62.337","DOIUrl":"https://doi.org/10.1619/fesi.62.337","url":null,"abstract":"The aim of this paper is to prove the existence of ${mathcal R}$-bounded solution operator families for a resolvent problem on the upper half-space arising from a compressible fluid model of Korteweg type with free boundary condition. Such a compressible fluid model was derived by Dunn and Serrin (1985) and studied by Kotschote (2008) as a boundary value problem with non-slip boundary condition.","PeriodicalId":55134,"journal":{"name":"Funkcialaj Ekvacioj-Serio Internacia","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2017-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49358441","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
On Transformations of A-Hypergeometric Functions 关于A-超几何函数的变换
IF 0.3 4区 数学
Funkcialaj Ekvacioj-Serio Internacia Pub Date : 2017-03-08 DOI: 10.1619/fesi.62.319
J. Forsgaard, L. Matusevich, Aleksandra Sobieska
{"title":"On Transformations of A-Hypergeometric Functions","authors":"J. Forsgaard, L. Matusevich, Aleksandra Sobieska","doi":"10.1619/fesi.62.319","DOIUrl":"https://doi.org/10.1619/fesi.62.319","url":null,"abstract":"We propose a systematic study of transformations of $A$-hypergeometric functions. Our approach is to apply changes of variables corresponding to automorphisms of toric rings, to Euler-type integral representations of $A$-hypergeometric functions. We show that all linear $A$-hypergeometric transformations arise from symmetries of the corresponding polytope. As an application of the techniques developed here, we show that the Appell function $F_4$ does not admit a certain kind of Euler-type integral representation.","PeriodicalId":55134,"journal":{"name":"Funkcialaj Ekvacioj-Serio Internacia","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2017-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1619/fesi.62.319","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49641775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Estimates of Lifespan and Blow-up Rates for the Wave Equation with a Time-dependent Damping and a Power-type Nonlinearity 具有时变阻尼和幂型非线性的波动方程寿命和爆破率的估计
IF 0.3 4区 数学
Funkcialaj Ekvacioj-Serio Internacia Pub Date : 2016-09-05 DOI: 10.1619/fesi.62.157
K. Fujiwara, M. Ikeda, Yuta Wakasugi
{"title":"Estimates of Lifespan and Blow-up Rates for the Wave Equation with a Time-dependent Damping and a Power-type Nonlinearity","authors":"K. Fujiwara, M. Ikeda, Yuta Wakasugi","doi":"10.1619/fesi.62.157","DOIUrl":"https://doi.org/10.1619/fesi.62.157","url":null,"abstract":"We study blow-up behavior of solutions for the Cauchy problem of the semilinear wave equation with time-dependent damping. When the damping is effective, and the nonlinearity is subcritical, we show the blow-up rates and the sharp lifespan estimates of solutions. Upper estimates are proved by an ODE argument, and lower estimates are given by a method of scaling variables.","PeriodicalId":55134,"journal":{"name":"Funkcialaj Ekvacioj-Serio Internacia","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2016-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1619/fesi.62.157","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67431464","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 28
Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations I: Matrix Painlevé Systems 与分支线性方程相关的四维painlev<s:1>型方程I:矩阵painlev<s:1>系统
IF 0.3 4区 数学
Funkcialaj Ekvacioj-Serio Internacia Pub Date : 2016-08-13 DOI: 10.1619/fesi.63.97
H. Kawakami
{"title":"Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations I: Matrix Painlevé Systems","authors":"H. Kawakami","doi":"10.1619/fesi.63.97","DOIUrl":"https://doi.org/10.1619/fesi.63.97","url":null,"abstract":"As a sequel to Kawakami-Nakamura-Sakai (arXiv:1209.3836), this series of papers constructs the complete degeneration scheme of four-dimensional Painlev'e-type equations which includes the Painlev'e-type equations associated with linear systems of ramified type. In the present paper, we consider the degeneration of Painlev'e-type equations which we call the matrix Painlev'e systems.","PeriodicalId":55134,"journal":{"name":"Funkcialaj Ekvacioj-Serio Internacia","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2016-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67432181","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 13
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