Semilinear Cauchy Problems with Almost Sectorial Operators

• Autorzy: Tomasz Dlotko
• Języki publikacji: EN

Abstrakty

EN

Existence of a mild solution to a semilinear Cauchy problem with an almost sectorial operator is studied. Under additional regularity assumptions on the nonlinearity and initial data we also prove the existence of a classical solution to this problem. An example of a parabolic problem in Hölder spaces illustrates the abstract result.

Kategorie tematyczne

• 37L05: General theory, nonlinear semigroups, evolution equations
• 35K90: Abstract parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: 55
• Numer: 4
• Strony: 333-346

Daty

wydano

2007

Twórcy

autor

Tomasz Dlotko

• Institute of Mathematics, Silesian University, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/ba55-4-5