Howard A. Levine

Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations

Let P and A be symmetric linear operators defined on a dense domain

Mathematical modeling of capillary formation and development in tumor angiogenesis: Penetration into the stroma

D \subset H

Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time

, a (real) Hilbert space. Let

A system of reaction diffusion equations arising in the theory of reinforced random walks

(x,Av) \geqq \lambda (x,x)

On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary

for all

On the existence and nonexistence of global solutions of reaction-diffusion equations in sectorial domains

x \in D

Some existence and nonexistence theorems for solutions of degenerate parabolic equations

and some

A mathematical analysis of SELEX

\lambda > 0

The value of the critical exponent for reaction-diffusion equations in cones

and

The Quenching of Solutions of Some Nonlinear Parabolic Equations

(x,Px) > 0