Geodesic
Semilinear Cauchy Problems with Almost Sectorial Operators
Tomasz Dlotko1
1 Institute of Mathematics Silesian University 40-007 Katowice, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 4, pp. 333-346

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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.
DOI : 10.4064/ba55-4-5
Keywords: existence mild solution semilinear cauchy problem almost sectorial operator studied under additional regularity assumptions nonlinearity initial prove existence classical solution problem example parabolic problem lder spaces illustrates abstract result

Tomasz Dlotko 1

1 Institute of Mathematics Silesian University 40-007 Katowice, Poland 
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Tomasz Dlotko. Semilinear Cauchy Problems with Almost
Sectorial Operators. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 4, pp. 333-346. doi: 10.4064/ba55-4-5

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