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Journal of Pseudo-Differential Operators and Applications最新文献

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On a class of Kirchhoff problems with nonlocal terms and logarithmic nonlinearity 关于一类具有非局部项和对数非线性的基尔霍夫问题
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-07-07 DOI: 10.1007/s11868-024-00624-z
El-Houari Hamza, Arhrrabi Elhoussain, J. Vanterler da da C. Sousa
{"title":"On a class of Kirchhoff problems with nonlocal terms and logarithmic nonlinearity","authors":"El-Houari Hamza, Arhrrabi Elhoussain, J. Vanterler da da C. Sousa","doi":"10.1007/s11868-024-00624-z","DOIUrl":"https://doi.org/10.1007/s11868-024-00624-z","url":null,"abstract":"<p>In this present paper, we concern investigating nonlinear Kirchhoff-type problems subject to Dirichlet boundary conditions, incorporating nonlocal terms and logarithmic nonlinearity in the <span>(phi )</span>-Hilfer fractional spaces with the <span>(eta (cdot ))</span>-Laplacian operator by means of the do Mountain Pass Theorem, Fountain Theorem and Dual Fountain Theorem.</p>","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141567827","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Pseudo-differential operators in several p-adic variables and sub-Markovian semigroups 若干 p-adic 变量中的伪微分算子和子马尔可夫半群
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-07-05 DOI: 10.1007/s11868-024-00623-0
Anselmo Torresblanca-Badillo, Edilberto Arroyo-Ortiz, Ronald Barrios-Garizao
{"title":"Pseudo-differential operators in several p-adic variables and sub-Markovian semigroups","authors":"Anselmo Torresblanca-Badillo, Edilberto Arroyo-Ortiz, Ronald Barrios-Garizao","doi":"10.1007/s11868-024-00623-0","DOIUrl":"https://doi.org/10.1007/s11868-024-00623-0","url":null,"abstract":"<p>This article marks the inaugural exploration of certain classes of negative or positive definite functions in several <i>p</i>-adic variables. Associated with these functions, two classes of pseudo-differential operators, convolution semigroups, some positive measures and <span>(L^{2}(mathbb {Q}_{p}^{n}))</span>-sub-Markovian semigroups are introduced.</p>","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141567829","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Continuity properties of multi-parameter pseudodifferential operators on Bony class 骨类上多参数伪微分算子的连续特性
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-07-05 DOI: 10.1007/s11868-024-00622-1
Wei Ding, Min Gu, Yueping Zhu
{"title":"Continuity properties of multi-parameter pseudodifferential operators on Bony class","authors":"Wei Ding, Min Gu, Yueping Zhu","doi":"10.1007/s11868-024-00622-1","DOIUrl":"https://doi.org/10.1007/s11868-024-00622-1","url":null,"abstract":"<p>It is well-known that the pseudodifferential operator with the symbol in Bony class, a subset of <span>(S_{1,1}^0(mathbb R^n))</span>, is bounded on <span>(L^{2}(mathbb {R}^{n}))</span>. The main purpose of this paper is to extend the classical results to multi-parameter case, i.e., to discuss the boundedness on <span>(L^2(mathbb {R}^{n_1+n_2}))</span> and on <span>(h^{p}(mathbb {R}^{n_{1}}times mathbb {R}^{n_{2}}) (0&lt;ple 1))</span> of multi-parameter pseudodifferential operator with symbol satisfying multi-parameter Bony conditions.</p>","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141567828","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Fractional type Marcinkiewicz integral and its commutator on grand variable Herz-Morrey spaces 大变量赫兹-莫雷空间上的分数型马尔钦凯维奇积分及其换元器
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-06-27 DOI: 10.1007/s11868-024-00621-2
Xijuan Chen, Guanghui Lu, Wenwen Tao
{"title":"Fractional type Marcinkiewicz integral and its commutator on grand variable Herz-Morrey spaces","authors":"Xijuan Chen, Guanghui Lu, Wenwen Tao","doi":"10.1007/s11868-024-00621-2","DOIUrl":"https://doi.org/10.1007/s11868-024-00621-2","url":null,"abstract":"<p>The aim of this paper is to establish the boundedness of the fractional type Marcinkiewicz integral operator <span>(mathcal {M}_{alpha ,rho ,m})</span> and its higher order commutator <span>(mathcal {M}_{alpha ,rho ,m,b^l})</span> generated by <span>(bin textrm{BMO}({mathbb {R}}^n))</span> and <span>(mathcal {M}_{alpha ,rho ,m})</span> on the weighted Lebesgue spaces <span>(L_omega ^p({mathbb {R}}^n))</span>. Under assumption that the variable exponents <span>(alpha (cdot ))</span> and <span>(q(cdot ))</span> satisfy the <span>(log )</span> decay at infinity and origin, the authors show that the <span>(mathcal {M}_{alpha ,rho ,m})</span> and <span>(mathcal {M}_{alpha ,rho ,m,b^l})</span> are bounded on the grand variable Herz spaces <span>(dot{K}_{q(cdot )}^{alpha (cdot ),p),theta }({mathbb {R}}^n))</span> and the grand variable Herz-Morrey spaces <span>(Mdot{K}_{p),theta ,q(cdot )}^{alpha (cdot ),lambda }({mathbb {R}}^n))</span>, respectively.</p>","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141507720","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
p-adic Bessel $$alpha $$ -potentials and some of their applications p-adic Bessel $$alpha $$ -potentials 及其部分应用
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-06-22 DOI: 10.1007/s11868-024-00613-2
Anselmo Torresblanca-Badillo, J. E. Ospino, Francisco Arias
{"title":"p-adic Bessel $$alpha $$ -potentials and some of their applications","authors":"Anselmo Torresblanca-Badillo, J. E. Ospino, Francisco Arias","doi":"10.1007/s11868-024-00613-2","DOIUrl":"https://doi.org/10.1007/s11868-024-00613-2","url":null,"abstract":"<p>In this article, we will study a class of pseudo-differential operators on <i>p</i>-adic numbers, which we will call <i>p</i>-adic Bessel <span>(alpha )</span>-potentials. These operators are denoted and defined in the form </p><span>$$begin{aligned} (mathcal {E}_{varvec{phi },alpha }f)(x)=-mathcal {F}^{-1}_{zeta rightarrow x}left( left[ max {1,|varvec{phi }(||zeta ||_{p})|} right] ^{-alpha }widehat{f}(zeta )right) , text { } xin {mathbb {Q}}_{p}^{n}, alpha in mathbb {R}, end{aligned}$$</span><p>where <i>f</i> is a <i>p</i>-adic distribution and <span>(left[ max {1,|varvec{phi }(||zeta ||_{p})|}right] ^{-alpha })</span> is the symbol of the operator. We will study some properties of the convolution kernel (denoted as <span>(K_{alpha })</span>) of the pseudo-differential operator <span>(mathcal {E}_{varvec{phi },alpha })</span>, <span>(alpha in mathbb {R})</span>; and demonstrate that the family <span>((K_{alpha })_{alpha &gt;0})</span> determines a convolution semigroup on <span>(mathbb {Q}_{p}^{n})</span>. Furthermore, we will introduce new types of Feller semigroups, and explore new Markov processes and non-homogeneous initial value problems on <i>p</i>-adic numbers.</p>","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141507721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Topology of the space of conormal distributions 正态分布空间拓扑学
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-06-09 DOI: 10.1007/s11868-024-00617-y
Jesús A. Álvarez López, Y. Kordyukov, Eric Leichtnam
{"title":"Topology of the space of conormal distributions","authors":"Jesús A. Álvarez López, Y. Kordyukov, Eric Leichtnam","doi":"10.1007/s11868-024-00617-y","DOIUrl":"https://doi.org/10.1007/s11868-024-00617-y","url":null,"abstract":"","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141368089","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Weighted composition operator on Gamma spaces with variable exponent 具有可变指数的伽马空间上的加权合成算子
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-06-09 DOI: 10.1007/s11868-024-00619-w
M. Sultan, B. Sultan, René Erlin Castillo
{"title":"Weighted composition operator on Gamma spaces with variable exponent","authors":"M. Sultan, B. Sultan, René Erlin Castillo","doi":"10.1007/s11868-024-00619-w","DOIUrl":"https://doi.org/10.1007/s11868-024-00619-w","url":null,"abstract":"","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141366766","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Estimates for the Berezin number inequalities 贝雷津数不等式的估计值
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-05-23 DOI: 10.1007/s11868-024-00612-3
Messaoud Guesba, Mubariz Garayev
{"title":"Estimates for the Berezin number inequalities","authors":"Messaoud Guesba, Mubariz Garayev","doi":"10.1007/s11868-024-00612-3","DOIUrl":"https://doi.org/10.1007/s11868-024-00612-3","url":null,"abstract":"","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141107301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Radial solutions of a pseudo-differential equations associated with a p-adic non-local ultradiffusion operator 与 p-adic 非局部超扩散算子相关的伪微分方程的径向解
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-05-23 DOI: 10.1007/s11868-024-00614-1
J. Galeano-Peñaloza, O. F. Casas-Sánchez
{"title":"Radial solutions of a pseudo-differential equations associated with a p-adic non-local ultradiffusion operator","authors":"J. Galeano-Peñaloza, O. F. Casas-Sánchez","doi":"10.1007/s11868-024-00614-1","DOIUrl":"https://doi.org/10.1007/s11868-024-00614-1","url":null,"abstract":"","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141104706","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A stability result of a Timoshenko beam system with a delay term in the internal fractional feedback 带有内部分数反馈延迟项的季莫申科梁系统的稳定结果
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-05-23 DOI: 10.1007/s11868-024-00615-0
Radhouane Aounallah
{"title":"A stability result of a Timoshenko beam system with a delay term in the internal fractional feedback","authors":"Radhouane Aounallah","doi":"10.1007/s11868-024-00615-0","DOIUrl":"https://doi.org/10.1007/s11868-024-00615-0","url":null,"abstract":"","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141107649","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
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