# Haut PDF Boundary control of quasilinear elliptic equations

### Boundary control of quasilinear elliptic equations

38

### Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations

**of**(0.1).

**Of**course, the Dirichlet problem for ...artifact

**of**the history

**of**the subject that there seems to be no quotable direct statement

**of**the existence

**of**viscosity ...

22

### Convexity estimates for nonlinear elliptic equations and application to free boundary problems

**of**the level sets, ...general

**quasilinear**operators has not yet be ...use

**of**the Fr´echet formula, one may refer to [25] (in the case

**of**the Laplace ...results

**of**this article ...

28

### Boundary sliding mode control of a system of linear hyperbolic equations: a Lyapunov approach

**of**our paper, we chose to focus on the case

**of**a system

**of**2 × 2 linear hyperbolic ...system

**of**linear hyperbolic

**equations**, the sliding mode method and introduces the notion ...

14

### Degenerate elliptic equations for resonant wave problems

**boundary**Γ = ...regions

**of**the ...ellipitic

**equations**, one based in {α < 0}, the other in {α > 0} with remaining compact terms, both coupled at ...

22

### Resonant leading order geometric optics expansions for quasilinear hyperbolic fixed and free boundary problems

**of**conservation laws, by substituting the approximate solution ansatz into ...components

**of**∂ u A j are given by the Hessian matrices

**of**the N components

**of**f j ...symmetry

**of**...

66

### Boundary value problems for degenerate elliptic equations and systems

**of**such

**equations**would be

**of**interest in its own right, but could also prove useful in the study

**of**

**boundary**value problems

**of**the type we study ...coeﬃcients

**of**...

57

### Exponential stability of general 1-D quasilinear systems with source terms for the C 1 norm under boundary conditions

**equations**and fluid dynamics they are found in many ...phenomena

**of**numerous physical or industrial systems [1, 14, 19], the issue

**of**their controllability and stability is a major concern, with ...

34

### Stochastic finite differences for elliptic diffusion equations in stratified domains

**of**the skin by Neumann ...evolution

**of**a particle and

**of**its score along a path that goes from one subdomain to another until it is killed due to the

**boundary**conditions or to the damping ...

28

### WEAKLY NONLINEAR MULTIPHASE GEOMETRIC OPTICS FOR HYPERBOLIC QUASILINEAR BOUNDARY VALUE PROBLEMS: CONSTRUCTION OF A LEADING PROFILE

**of**Wiener algebras by [JMR94] for the Cauchy problem and [Wil96] for the

**boundary**value problem, as well as for

**quasilinear**systems in the context

**of**Bohr-Besicovich spaces, notably by ...

76

### Boundary layers, Rellich estimates and extrapolation of solvability for elliptic systems

**of**the dual ...symmetric

**equations**, the converse is fairly recent for general systems (some partial results for real symmetric

**equations**in Lipschitz domains are in [ S ]) and requires to ...

41

### Strong maximum principles for anisotropic elliptic and parabolic equations

**equations**like ...description

**of**the dynamics

**of**fluids with different conductivities in different ...spread

**of**an epidemic disease in heterogeneous ...

13

### Nonhomogeneous elliptic equations involving critical Sobolev exponent and weight

**of**the problem (1.1), then −u is also a solution

**of**the problem ...instead

**of**λ. Without loss

**of**generality, we restrict our study to the case λ ≥ ...

12

### Second Order Analysis for Control Constrained Optimal Control Problems of Semilinear Elliptic Systems

27

### Boundary value problems for fractional differential equations

**of**many phenomena in various fields

**of**science and ...electrochemistry,

**control**, porous me- dia, electromagnetics, ...investigation

**of**fractional differential and partial differential ...

12

### Hardy spaces for boundary value problems of elliptic systems with block structure

**of**parameters σ, τ that depends on s, p and ...depend

**of**the speciﬁc choice

**of**such ...functions

**of**L act continuously on such ...

18

### Optimal Control of the Ill-Posed Cauchy Elliptic Problem

**control**

**of**Cauchy system for

**elliptic**operators is globally an open ...method

**of**approximation by penalization and obtained a singular optimality system, under a supplementary hypothe- sis ...

11

### Geometry of phase space and solutions of semilinear elliptic equations in a ball

**of**System (17) is nothing but the surface {z = x p−1 ...neighborhood

**of**O, which locally splits W u (O) into two ...This

**of**course also holds for a trajectory representing the unstable manifold ...

16

### Nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponent.

**equations**involving critical Sobolev exponent , Ann ...class

**of**

**equations**with singular coefficient and critical exponent , Adv ...Differential

**Equations**, 1 ( 1 996 ) 241 - 264 ...

13

### Spectral analysis of transport equations with bounce-back boundary conditions

**boundary**conditions (including periodic

**boundary**conditions, spec- ular reflections, diffuse reflections, generalized or mixed type

**boundary**conditions), many progress have been made in the ...

18