Pub Date : 2023-10-16DOI: 10.1007/s11868-023-00563-1
Hongfeng Li, Tong Wu, Yong Wang
{"title":"Statistical de Rham Hodge operators and general Kastler-Kalau-Walze type theorems for manifolds with boundary","authors":"Hongfeng Li, Tong Wu, Yong Wang","doi":"10.1007/s11868-023-00563-1","DOIUrl":"https://doi.org/10.1007/s11868-023-00563-1","url":null,"abstract":"","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136078699","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}
Pub Date : 2023-10-14DOI: 10.1007/s11868-023-00559-x
Guangqing Wang, Jinhui Li
{"title":"On the boundedness of rough bi-parameter Fourier integral operators","authors":"Guangqing Wang, Jinhui Li","doi":"10.1007/s11868-023-00559-x","DOIUrl":"https://doi.org/10.1007/s11868-023-00559-x","url":null,"abstract":"","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135800512","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}
Pub Date : 2023-10-09DOI: 10.1007/s11868-023-00561-3
Abdelbaki Choucha, Sofian Abuelbacher Adam Saad, Rashid Jan, Salah Boulaaras
{"title":"Decay rate of the solutions to the Cauchy problem of the Lord Shulman thermoelastic Timoshenko model with microtemperature effect","authors":"Abdelbaki Choucha, Sofian Abuelbacher Adam Saad, Rashid Jan, Salah Boulaaras","doi":"10.1007/s11868-023-00561-3","DOIUrl":"https://doi.org/10.1007/s11868-023-00561-3","url":null,"abstract":"","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135092694","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}
Pub Date : 2023-10-06DOI: 10.1007/s11868-023-00556-0
Anselmo Torresblanca-Badillo, Alfredo R. R. Narváez, José López-González
Abstract Two types of p -adic pseudo-differential operators (denoted, respectively, by $${mathcal {T}}_{{varvec{f}}_{1},{varvec{f}}_{2}}^{l}$$ Tf1,f2l and $${mathcal {J}}_{{varvec{f}}_{1},{varvec{f}}_{2}}^{alpha }$$ Jf1,f2α ) are introduced in this article. We will show that the operator $${mathcal {T}}_{{varvec{f}}_{1},{varvec{f}}_{2}}^{l}$$ Tf1,f2l determines certain Feller semigroups and stochastic processes with state space the p -adic numbers. The second type of these operators (defined on a new class of p -adic Sobolev space) are connected with contraction semigroups and parabolic pseudo-differential equations.
{"title":"New classes of parabolic pseudo-differential equations, Feller semigroups, contraction semigroups and stochastic process on the p-adic numbers","authors":"Anselmo Torresblanca-Badillo, Alfredo R. R. Narváez, José López-González","doi":"10.1007/s11868-023-00556-0","DOIUrl":"https://doi.org/10.1007/s11868-023-00556-0","url":null,"abstract":"Abstract Two types of p -adic pseudo-differential operators (denoted, respectively, by $${mathcal {T}}_{{varvec{f}}_{1},{varvec{f}}_{2}}^{l}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msubsup> <mml:mi>T</mml:mi> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>f</mml:mi> </mml:mrow> <mml:mn>1</mml:mn> </mml:msub> <mml:mo>,</mml:mo> <mml:msub> <mml:mrow> <mml:mi>f</mml:mi> </mml:mrow> <mml:mn>2</mml:mn> </mml:msub> </mml:mrow> <mml:mi>l</mml:mi> </mml:msubsup> </mml:math> and $${mathcal {J}}_{{varvec{f}}_{1},{varvec{f}}_{2}}^{alpha }$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msubsup> <mml:mi>J</mml:mi> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>f</mml:mi> </mml:mrow> <mml:mn>1</mml:mn> </mml:msub> <mml:mo>,</mml:mo> <mml:msub> <mml:mrow> <mml:mi>f</mml:mi> </mml:mrow> <mml:mn>2</mml:mn> </mml:msub> </mml:mrow> <mml:mi>α</mml:mi> </mml:msubsup> </mml:math> ) are introduced in this article. We will show that the operator $${mathcal {T}}_{{varvec{f}}_{1},{varvec{f}}_{2}}^{l}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msubsup> <mml:mi>T</mml:mi> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>f</mml:mi> </mml:mrow> <mml:mn>1</mml:mn> </mml:msub> <mml:mo>,</mml:mo> <mml:msub> <mml:mrow> <mml:mi>f</mml:mi> </mml:mrow> <mml:mn>2</mml:mn> </mml:msub> </mml:mrow> <mml:mi>l</mml:mi> </mml:msubsup> </mml:math> determines certain Feller semigroups and stochastic processes with state space the p -adic numbers. The second type of these operators (defined on a new class of p -adic Sobolev space) are connected with contraction semigroups and parabolic pseudo-differential equations.","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134944430","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}
Pub Date : 2023-10-06DOI: 10.1007/s11868-023-00557-z
Kaushik Bal, Sanjit Biswas
{"title":"Semilinear degenerate elliptic equation in the presence of singular nonlinearity","authors":"Kaushik Bal, Sanjit Biswas","doi":"10.1007/s11868-023-00557-z","DOIUrl":"https://doi.org/10.1007/s11868-023-00557-z","url":null,"abstract":"","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":"96 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135345709","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}
Pub Date : 2023-09-30DOI: 10.1007/s11868-023-00558-y
César E. Torres Ledesma, Hernán Cuti, Jesús Ávalos Rodríguez, Manuel Montalvo Bonilla
{"title":"Boundary value problem with tempered fractional derivatives and oscillating term","authors":"César E. Torres Ledesma, Hernán Cuti, Jesús Ávalos Rodríguez, Manuel Montalvo Bonilla","doi":"10.1007/s11868-023-00558-y","DOIUrl":"https://doi.org/10.1007/s11868-023-00558-y","url":null,"abstract":"","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136280600","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}
Pub Date : 2023-09-15DOI: 10.1007/s11868-023-00554-2
Pengyan Wang, Fanqi Zeng
{"title":"Estimates for the first eigenvalue of diffusion-type operators in weighted manifolds","authors":"Pengyan Wang, Fanqi Zeng","doi":"10.1007/s11868-023-00554-2","DOIUrl":"https://doi.org/10.1007/s11868-023-00554-2","url":null,"abstract":"","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135397110","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}
Pub Date : 2023-09-15DOI: 10.1007/s11868-023-00555-1
Faouzi Haddouchi, Mohammad Esmael Samei, Shahram Rezapour
{"title":"Study of a sequential $$psi $$-Hilfer fractional integro-differential equations with nonlocal BCs","authors":"Faouzi Haddouchi, Mohammad Esmael Samei, Shahram Rezapour","doi":"10.1007/s11868-023-00555-1","DOIUrl":"https://doi.org/10.1007/s11868-023-00555-1","url":null,"abstract":"","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135395195","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}
Pub Date : 2023-09-09DOI: 10.1007/s11868-023-00551-5
Alen Osançlıol, S. Öztop
{"title":"Bilinear multipliers on Orlicz spaces on locally compact groups","authors":"Alen Osançlıol, S. Öztop","doi":"10.1007/s11868-023-00551-5","DOIUrl":"https://doi.org/10.1007/s11868-023-00551-5","url":null,"abstract":"","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":"48 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91291209","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}
Pub Date : 2023-09-04DOI: 10.1007/s11868-023-00552-4
Mohammad Mursaleen, Ekrem Savaş
{"title":"Solvability of an infinite system of fractional differential equations with p-Laplacian operator in a new tempered sequence space","authors":"Mohammad Mursaleen, Ekrem Savaş","doi":"10.1007/s11868-023-00552-4","DOIUrl":"https://doi.org/10.1007/s11868-023-00552-4","url":null,"abstract":"","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":"5 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82797304","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}
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