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Global smooth solutions for a class of parabolic integrodifferential equations |
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| Authors: | Hans Engler |
| Affiliation: | Department of Mathematics, Georgetown University, Washington, D.C. 20057 |
| Abstract: | The existence and uniqueness of smooth global large data solutions of a class of quasilinear partial integrodifferential equations in one space and one time dimension are proved, if the integral kernel behaves like  near  with  . An existence and regularity theorem for linear equations with variable coefficients that are related to this type is also proved in arbitrary space dimensions and with no restrictions for  . |
| Keywords: | Integrodifferential equation quasilinear regular solution global existence regularity singular kernel |
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