Evolution Equations, Control Theory, and BiomathematicsPhilippe Clement, G Lumer Based on the Third International Workshop Conference on Evolution Equations, Control Theory and Biomathematics, held in Hans-sur-Lesse, Belgium. The papers examine important advances in evolution equations related to physical, engineering and biological applications. |
Contents
Nonlinear and Dynamical Node Transition in Network | 1 |
Uniform Stabilization for the Solutions to a von Kármán Plate | 25 |
E Bradley and I Lasiecka | 38 |
HamiltonJacobi Equations in Infinite Dimensions | 51 |
G Crandall and P L Lions | 88 |
Simultaneous WellPosedness | 101 |
A HilbertSchmidt Property of Resolvent Differences | 117 |
Demuth and J A van Casteren | 142 |
Gradient BlowUps and Global Solvability After the BlowUp | 301 |
The Wave Equation Method in the Spectral Theory of SelfAdjoint | 319 |
Models for DiffusionType Phenomena with Abrupt Changes | 337 |
On Uniqueness and Regularity in Models for DiffusionType | 353 |
Dual Semigroups and Functional Differential Equations | 367 |
McMillan and R Triggiani | 402 |
The LaplaceStieltjes Transform in Banach Spaces and Abstract | 417 |
Stable Asymptotics for Differential Equations in a Hilbert Space | 433 |
Quasilinear Diffusions | 155 |
Smooth Solutions of Nonlinear Elliptic Systems with | 173 |
Control Theory | 187 |
On Second Order Implicit Differential Equations in Banach Spaces | 205 |
Regularity and Decay for Nonlinear Parabolic Boundary Problems | 225 |
Differential Equations on Branched Manifolds | 241 |
Regulator Problem for Linear Distributed Control Systems | 259 |
On the LP Theory of Systems of Linear Partial Differential Equations | 275 |
Superstable CoSemigroups on Banach Spaces | 291 |
Skeels Condition Number for Operators in CºN and Application | 451 |
Rational Approximations of Analytic Semigroups | 467 |
Linear Evolutionary Integral Equations on the Line | 485 |
The Model Nonlocal Nonlinear Equation | 515 |
On the HilleYosida Operators | 537 |
On SemiGroups Having Empty Resolvent Set | 553 |
Can We Understand What Life Is? | 573 |
Common terms and phrases
abstract Cauchy problem analytic apply assume assumptions asymptotic Banach space boundary conditions boundary value bounded operator Cauchy problem Co-semigroup compact consider constant continuous functions convergence defined definition denote Dirichlet Dirichlet problem domain dynamics E₁ eigenvalues elliptic elliptic operators equivalent estimate evolution equations example exists finite given Hamilton-Jacobi equations Hence Hilbert space holds implies inequality initial value integrated semigroup Ko+V Laplace transform Laplace-Stieltjes transform Lemma linear operator Lumer M₁ Math Mathematics mild solution Moreover nonlinear norm obtain parabolic partial differential equations perturbation po(t polynomials proof of Theorem Proposition prove regularity respect satisfies sequence Sinestrari spectral spectrum stable strongly continuous strongly continuous semigroup subset subsolution supersolution Suppose t₁ theory trajectory unique University value problem vector viscosity solutions X₁