Energy methods are analytical techniques used to study the properties and behavior of solutions to differential equations, particularly in the context of stability and regularity. These methods often involve constructing energy functionals that help quantify the energy associated with a given solution, allowing for insights into the long-term behavior and stability of the system described by the equations. They are especially relevant when analyzing partial differential equations, as they provide a framework for proving the existence, uniqueness, and regularity of solutions.
congrats on reading the definition of energy methods. now let's actually learn it.