A resolvent for an iteration method for nonlinear partial differential equations
A resolvent for an iteration method for nonlinear partial differential equations
For each of <italic>m</italic> and <italic>n</italic> a positive integer denote by <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper S left-parenthesis m comma i right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>S</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>m</mml:mi> <mml:mo>,</mml:mo> <mml:mi>i</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">S(m,i)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> the space of all real-valued symmetric <italic>i</italic>-linear functions on <inline-formula content-type="math/mathml"> <mml:math …