Semilinear parabolic problems define semiflows on ๐ถ^{๐} spaces
Semilinear parabolic problems define semiflows on ๐ถ^{๐} spaces
Linear parabolic problems of a general class are proved to determine analytic semigroups on certain closed subspaces of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C Superscript k Baseline left-parenthesis normal upper Omega overbar right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>C</mml:mi> <mml:mi>k</mml:mi> </mml:msup> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mover> <mml:mi mathvariant="normal">ฮฉ<!-- ฮฉ --></mml:mi> <mml:mo โฆ