Analytic semigroups and semilinear heat equations in hilbert spaces

Abstract

The existence, uniqueness and asymptotic behavior of global solutions of semilinear heat equations in Hilbert spaces are studied by developing new results in the theory of analytic semigroups of bounded linear operators.

Keywords:

• Analytic semigroups
• Hilbert spaces
• Semilinear heat equations
• Existence
• Uniqueness
• Regularity
• Asymptotic behavior

^*This research has been partially supported by the Natural Sciences and Engineering Research Council of Canada under Grant OGP0008562

^*This research has been partially supported by the Natural Sciences and Engineering Research Council of Canada under Grant OGP0008562

Notes

^*This research has been partially supported by the Natural Sciences and Engineering Research Council of Canada under Grant OGP0008562