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45-XX Integral equations
45Kxx Integro-partial differential equations

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Backward solutions to nonlinear integro-differential systems

Yuzhen Bai (2010)

Open Mathematics

In this paper, we show the backward uniqueness in time of solutions to nonlinear integro-differential systems with Neumann or Dirichlet boundary conditions. We also discuss reasonable physical interpretations for our conclusions.

Blow-up behavior in nonlocal vs local heat equations

Philippe Souplet (2000)

Banach Center Publications

We present some recent results on the blow-up behavior of solutions of heat equations with nonlocal nonlinearities. These results concern blow-up sets, rates and profiles. We then compare them with the corresponding results in the local case, and we show that the two types of problems exhibit "dual" blow-up behaviors.

Currently displaying 1 – 8 of 8

Page 1

Displaying 1 – 8 of 8

Backward solutions to nonlinear integro-differential systems

Blow-up behavior in nonlocal vs local heat equations

Blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions

Blow-up of solutions for an integro-differential equation with a nonlinear source.

Blowup of solutions of a nonlinear wave equation.

Blow-up of solutions of a semilinear heat equation with a memory term.

Boltzmann Asymptotics with Diffuse Reflection Boundary Conditions.

Bounds on certain integral inequalities.

Currently displaying 1 – 8 of 8