Finally, we present an application for defined spaces to the stochastic partial differential equations with stochastic field growth. *********************************************************************************************************************************************************************
📌 3 Key Takeaways
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Objective & Hypothesis:In this study, we consider weighted stochastic field exponent function spaces $L_{\vartheta }^{p(.,.)}\left( D\times \Omega \right) $ and $W_{\vartheta }^{k,p(.,.)}\left( D\times \Omega \right) $.
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Key Findings & Data:Also, we study some basic properties and embeddings of these spaces.
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Conclusion & Impact:Finally, we present an application for defined spaces to the stochastic partial differential equations with stochastic field growth. *********************************************************************************************************************************************************************
In this study, we consider weighted stochastic field exponent function spaces $L_{\vartheta }^{p(.,.)}\left( D\times \Omega \right) $ and $W_{\vartheta }^{k,p(.,.)}\left( D\times \Omega \right) $. Also, we study some basic properties and embeddings of these spaces. Finally, we present an application for defined spaces to the stochastic partial differential equations with stochastic field growth. *********************************************************************************************************************************************************************
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