A structured visual guide to the major mathematical areas and their relationships.
Search by code, branch, topic, subtopic, or a keyword from the descriptions.
This subtopic studies PDEs close to elliptic equations, where near-ellipticity guides regularity, solvability, and perturbation arguments.
35H10 treats hypoelliptic equations within close-to-elliptic equations. The focus is on model classes, principal estimates, and solution mechanisms that clarify existence, uniqueness, regularity, and asymptotic behavior in representative PDE settings.
Wikipedia search: Hypoelliptic equations
Used to classify PDE models, select analytic techniques, and build proof strategies for existence, regularity, and stability results in both pure and applied contexts.
35H20 treats subelliptic equations within close-to-elliptic equations. The focus is on model classes, principal estimates, and solution mechanisms that clarify existence, uniqueness, regularity, and asymptotic behavior in representative PDE settings.
Wikipedia search: Subelliptic equations
Used to classify PDE models, select analytic techniques, and build proof strategies for existence, regularity, and stability results in both pure and applied contexts.
35H30 treats quasi-elliptic equations within close-to-elliptic equations. The focus is on model classes, principal estimates, and solution mechanisms that clarify existence, uniqueness, regularity, and asymptotic behavior in representative PDE settings.
Wikipedia search: Quasi-elliptic equations
Used to classify PDE models, select analytic techniques, and build proof strategies for existence, regularity, and stability results in both pure and applied contexts.