Transactions of the American Mathematical Society

Author(s): Hans Engler
Journal: Trans. Amer. Math. Soc. 348 (1996), 267-290.
MSC (1991): Primary 45K05
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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 $t^{-\alpha }$ near $t=0$

with $\alpha > 2/3$ . 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 $\alpha$ .

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Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 45K05

Hans Engler
Affiliation: Department of Mathematics, Georgetown University, Washington, D.C. 20057
Email: engler@guvax.acc.georgetown.edu

DOI: 10.1090/S0002-9947-96-01472-9
PII: S 0002-9947(96)01472-9
Keywords: Integrodifferential equation, quasilinear, regular solution, global existence, regularity, singular kernel
Received by editor(s): September 22, 1994
Received by editor(s) in revised form: January 13, 1995
Additional Notes: Supported by the National Science Foundation under grant # DMS-9003543
Copyright of article: Copyright 1996, American Mathematical Society

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