Mathematical models describing this effect in time-dependent situations are based on initial-boundary value problems for coupled systems of partial differential equations.
42.
In 1915 Galerkin published an article in which he put forward an idea of an approximate method for differential equations, in particular boundary value problems.
43.
Boundary value problems and the time-evolution of the wave function is not of much practical interest : it is the stationary states that are most important.
44.
Many of her papers helped the development of the theory of local and non-local boundary value problems in infinite layers for systems of Partial differential equations.
45.
During a conversation, Wirtinger attracted the attention of StanisBaw Zaremba to a particular boundary value problem, which later became known as the mixed boundary value problem.
46.
During a conversation, Wirtinger attracted the attention of StanisBaw Zaremba to a particular boundary value problem, which later became known as the mixed boundary value problem.
47.
Then the above initial / boundary value problem can be interpreted as an initial value problem for an ordinary differential equation on the space " X ":
48.
It was about this time that his research efforts shifted toward the emerging field of variational inequalities, which he modeled after boundary value problems for partial differential equations.
49.
Lions generalization is an important one since it allows one to tackle boundary value problems beyond the Hilbert space setting of the original Lax & ndash; Milgram theory.
50.
"initial-boundary value problems for parabolic and hyperbolic partial differential equations and systems ( existence, high regularity, stability of solutions, time periodic solutions );
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