TL;DR
This paper provides a comprehensive overview of stochastic calculus, stochastic differential equations, and their relationship with second order linear PDEs, serving as a foundational resource for understanding these interconnected mathematical areas.
Contribution
It offers a self-contained summary of key results in stochastic calculus and SDEs, highlighting their connection to PDEs, which is valuable for researchers and students.
Findings
Clarifies the link between stochastic differential equations and PDEs.
Summarizes essential results in stochastic calculus.
Provides foundational knowledge for further research.
Abstract
This manuscript is a self-contained overview of essential results of stochastic calculus and stochastic differential equations, and their connection with final-value problems for second order linear PDEs.
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Taxonomy
TopicsStochastic processes and financial applications