## Access

You are not currently logged in.

Access JSTOR through your library or other institution:

## If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Journal Article

# Global Smooth Solutions for a Class of Parabolic Integrodifferential Equations

Hans Engler
Transactions of the American Mathematical Society
Vol. 348, No. 1 (Jan., 1996), pp. 267-290
Stable URL: http://www.jstor.org/stable/2155176
Page Count: 24

#### Select the topics that are inaccurate.

Cancel
Preview not available

## 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-α 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 α.

• 267
• 268
• 269
• 270
• 271
• 272
• 273
• 274
• 275
• 276
• 277
• 278
• 279
• 280
• 281
• 282
• 283
• 284
• 285
• 286
• 287
• 288
• 289
• 290