Layered stable equilibria of a reaction–diffusion equation with nonlinear Neumann boundary condition

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The local solution of a parabolic-elliptic equation with a nonlinear Neumann boundary condition

Abstract. We investigate a parabolic-elliptic problem, where the time derivative is multiplied by a coefficient which may vanish on time-dependent spatial subdomains. The linear equation is supplemented by a nonlinear Neumann boundary condition −∂u/∂νA = g(·, ·, u) with a locally defined, Lr-bounded function g(t, ·, ξ). We prove the existence of a local weak solution to the problem by means of ...

متن کامل

Regularization for a Laplace Equation with Nonhomogeneous Neumann Boundary Condition

We consider the following problem  uxx + uyy = 0, (x, y) ∈ (0, π)× (0, 1) u(0, y) = u(π, y) = 0, y ∈ (0, 1) uy(x, 0) = g(x), 0 < x < π u(x, 0) = φ(x), 0 < x < π The problem is shown to be ill-posed, as the solution exhibits unstable dependence on the given data functions. Using the new method, we regularize of problem and obtain some new results. Some numerical examples are given to illu...

متن کامل

A Spectral Method for an Elliptic Equation with a Nonlinear Neumann Boundary Condition

Abstract. Let Ω be an open, simply connected, and bounded region in Rd, d ≥ 2, that is diffeomorphic to Bd. Consider solving −∆u+ γu = 0 over Ω with the Neumann boundary condition ∂u ∂n = b (·, u). The function b is a nonlinear function of u. The problem is reformulated in a weak form, and then a spectral Galerkin method is used to create a sequence of finite dimensional nonlinear problems. An ...

متن کامل

Porous medium equation with absorption and a nonlinear boundary condition

In this paper we study a porous medium equation with a nonlinear absorption term and a nonlinear boundary condition. We prove existence of weak solutions and also we establish some uniqueness and non uniqueness results for certain range of the parameters that appear in the problem. Finally we deal with the existence of global solutions in time or blow-up. We find in which region of parameters t...

متن کامل

Nvestigation of a Boundary Layer Problem for Perturbed Cauchy-Riemann Equation with Non-local Boundary Condition

Boundary layer problems (Singular perturbation problems) more have been applied for ordinary differential equations. While this theory for partial differential equations have many applications in several fields of physics and engineering. Because of complexity of limit and boundary behavior of the solutions of partial differential equations these problems considered less than ordinary case. In ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2008

ISSN: 0022-247X

DOI: 10.1016/j.jmaa.2008.06.001