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Geological and Mining Engineering

Geological and Mining Engineering (GME), published by Scineer Publishing PTE. LTD, is an open-access journal. GME is devoted to publish geological and mining engineering related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on geological and mining engineering throughout the world. GME welcomes all original

ISSN: 3029-1887(P)
3029-2034(O)

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Food Safety and Quality


Food Safety and Quality (FSQ), published by Scineer Publishing PTE. LTD, is an open-access journal. FSQ is devoted to publish food safety and quality related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on food safety and quality throughout the world. FSQ welcomes all original manuscripts that do not be published in any other journals.

ISSN: 3029-2115(P)
3029-2123(O)

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Hydraulic Engineering and Power Research

Hydraulic Engineering and Power Research (HEPR), published by Scineer Publishing PTE. LTD, is an open-access journal. HEPR is devoted to publish hydraulic engineering and power related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on hydraulic engineering and power throughout the world. HEPR welcomes all original manuscripts that do not be published in any other journals.Â

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    ISSN: 3029-2158(P)
         3029-2166(O)

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Medical and Health Research

Medical and Health Research (MHR), published by Scineer Publishing PTE. LTD, is an open-access journal. MHR is devoted to publish medicine related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on medicine throughout the world. MHR welcomes all original manuscripts that do not be published in any other journals.Â

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    ISSN: 3029-2190(P)
         3029-2204(O)

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Practical Medical Research

Practical Medical Research (PMR), published by Scineer Publishing PTE. LTD, is an open-access journal. PMR is devoted to publish medicine related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on medicine throughout the world. PMR welcomes all original manuscripts that do not be published in any other journals.Â


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    ISSN: 3029-2085(P)
          3029-2093(O)

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Forum on Research and Innovation Management

Forum on Research and Innovation Management (FRIM), published by Scineer Publishing PTE. LTD, is an open-access journal. FRIM is devoted to publish research and innovation management related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on research and innovation management throughout the world. FRIM welcomes all original manuscripts that do not be published in any other journals.Â

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    ISSN: 3029-1933(P)
         3029-1984(O)

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Construction Safety Technology and Management

Construction Safety Technology and Management (CSTM), published by Scineer Publishing PTE. LTD, is an open-access journal. CSTM is devoted to publish construction safety technology and management related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on construction safety technology and management throughout the world. CSTM welcomes all original manuscripts that do not be published in any other journals.Â

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     ISSN: 3029-2069(P)
           3029-2077(O)

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Industrial Technology Research

Industrial Technology Research (ITR), published by Scineer Publishing PTE. LTD, is an open-access journal. ITR is devoted to publish industrial technology related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on industrial technology throughout the world. ITR welcomes all original manuscripts that do not be published in any other journals.

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    ISSN: 3029-1895(P)
          3029-2026(O)

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Environmental Protection and Health

Environmental Protection and Health (EPH), published by Scineer Publishing PTE. LTD, is an open-access journal. EPH is devoted to publish environmental protection and health related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on environmental protection and health throughout the world. EPH welcomes all original manuscripts that do not be published in any other journals.Â

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    ISSN: 3029-1909(P)
         3029-2018(O)

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Artificial Intelligence Technology Research

Artificial Intelligence Technology Research (AITR), published by Scineer Publishing PTE. LTD, is an open-access journal. AITR is devoted to publish artificial intelligence technology related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on artificial intelligence technology throughout the world. AITR welcomes all original manuscripts that do not be published in any other journals.Â

    ISSN: 3029-1968(O)
         3029-195X(P)
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Curriculum Learning and Exploration

Curriculum Learning and Exploration (CLE), published by Scineer Publishing PTE. LTD, is an open-access journal. CLE is devoted to publish curriculum related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on curriculum throughout the world. CLE welcomes all original manuscripts that do not be published in any other journals.Â

    ISSN: 3029-1976(O)
         3029-1941(P)
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Evaluation of Educational Research

Evaluation of Educational Research (EER), published by Scineer Publishing PTE. LTD, is an open-access journal. EER is devoted to publish education related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on education throughout the world. EER welcomes all original manuscripts that do not be published in any other journals.

    ISSN: 3029-1992(O)
         3029-1925(P)
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World Education Forum

World Education Forum (WEF), published by Scineer Publishing PTE. LTD, is an open-access journal. WEF is devoted to publish education related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on education throughout the world. WEF welcomes all original manuscripts that do not be published in any other journals.

    ISSN: 3029-214X(O)
         3029-2131(P)

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New Explorations in Education and Teaching

New Explorations in Education and Teaching (NEET), published by Scineer Publishing PTE. LTD, is an open-access journal. NEET is devoted to publish education related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on education throughout the world. NEET welcomes all original manuscripts that do not be published in any other journals.Â

    ISSN: 3029-200X(O)
         3029-1917(P)

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Modern Economic Management Forum

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Modern Economic Management Forum (MEMF), published by Scineer Publishing PTE. LTD, is an open-access journal. MEMF is devoted to publish modern economic management related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on economic management throughout the world. MEMF welcomes all original manuscripts that do not be published in any other journals.Â
    ISSN: 3029-2182(O)
         3029-2174(P)

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Research and Commentary on Humanities and Arts

Research and Commentary on Humanities and Arts (RCHA), published by Scineer Publishing PTE. LTD, is an open-access journal. RCHA is devoted to publish humanities and arts related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on humanities and arts throughout the world. RCHA welcomes all original manuscripts that do not be published in any other journals.Â

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      ISSN: 3029-2050(O)
           3029-2042(P)

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Study on the Well-Posedness of Solutions to Stochastic Evolution Equations Based on Stochastic Convolution

Zhewei Zhang

Abstract


This paper conducts an in-depth study on the well-posedness of solutions to stochastic evolution equations based on stochastic convolutions. By constructing appropriate operator semigroups and integrating Bochner-Itô integral theory, a systematic analysis of the properties
of stochastic convolutions is performed. Using the Burkholder-Davis-Gundy inequality, the contraction properties of semigroups, and Sobolev
space theory, the existence and uniqueness of mild solutions to stochastic evolution equations are rigorously proven in spaces, providing a
solid mathematical foundation for theoretical research and practical applications in related fields.

Keywords


Operator semigroup; Stochastic convolution; Statistical theory

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References


[1] Jiang Zhongming, Li Jie. Analytical Solutions to Generalized Probability Density Evolution Equations for Three Types of Stochastic

Systems [J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(02): 413–421.

[2] Huang Zaitang. Research on the Dynamical Properties of Stochastic Differential Systems [D]. Nanning Normal University, Guangxi

Zhuang Autonomous Region, 2020-04-24.

[3] Jia Qian, Wang Wei. Regularity of Stochastic Convolutions with Distributed Delays [J/OL]. Journal of Capital Normal University (Natural

Science Edition), 1–10.




DOI: http://dx.doi.org/10.70711/frim.v3i9.7337

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