Regularity results in elliptic and parabolic transmission problems

Key Points

• The central aim is to explore recent findings on the regularity of solutions for transmission problems in elliptic and parabolic contexts.
• Survey of existing literature on regularity results.
• Discussion of the motivation for studying transmission problems.
• Illustration of concepts with concrete applications.
• Various regularity results are summarized for both elliptic and parabolic problems.
• Concrete applications are provided to illustrate the relevance of these results.