ABSTRACT
Sobolev space W 1,2. || · ||Lp Lp-norm || · ||Hm Hm-norm || · || Maximum norm, if not defined otherwise || · ||X Norm with respect to Banach space X || · ||∞ = supt∈I || · || Maximum norm on interval I (x, y) Scalar product of x and y in a Hilbert space,
see Chapter 2 O(τ) Landau symbol, e.g., first order in time
with time step τ U = (u, v)T Vectorial solutions with two components,
see Chapter 2 U = (u, v, w)T Vectorial solutions in three components,
see Chapter 2
(x1, . . . , xn)T =
⎛ ⎜⎝
x1 ...
