AbstractFor a bounded smooth domain Ω⊂RNx+Ny let Ωɛ, 0<ɛ, be a family of domains squeezed in y∈RNy direction. On Ωɛ we consider a reaction–diffusion equation with nonsymmetrical linear part. We show that under natural conditions on the nonlinearity the generated semi-flows have global attractors which in a certain sense have limits, as ɛ↓0
We consider a nonlinear reaction–diffusion equation on the whole space R^d. We prove the well-posedn...
AbstractFor a bounded smooth domain Ω⊂RNx+Ny let Ωɛ, 0<ɛ, be a family of domains squeezed in y∈RNy d...
AbstractIn this paper we prove the existence and uniqueness of a weak solution for a non-autonomous ...
AbstractLet Ω be an arbitrary smooth bounded domain in RM×RN and ε>0 be arbitrary. Write (x, y) for ...
Consider a reaction-diffusion equation $u_t=\triangle u+f(u)$ on a family of net-shaped thin domains...
Abstract. We prove existence and upper semicontinuity of attractors for a reaction-diffusion equatio...
Abstract. Consider a reaction-diffusion equation ut = 4u + f(u) on a family of net-shaped thin domai...
We prove existence and upper semicontinuity of attractors for a reaction-diffusion equation on a fam...
We prove existence of global attractors for parabolic equations of the form [GRAPHICS] on an arbit...
We prove existence of global attractors for parabolic equations of the form $$ \alignedat2 u_t+\b...
In this paper we study the structure of the global attractor for a multivalued semiflow generated by...
We prove existence of global attractors for semilinear damped wave equations of the form $$ \aligna...
A method is proposed to prove the global attractor existence for multivalued semiflows with weak con...
We prove the existence of uniform attractors for the non-autonomous reaction diffusion equation $$...
We consider reaction-diffusion equations on a family of domains depending on a parameter $\eps> 0$...
We consider a nonlinear reaction–diffusion equation on the whole space R^d. We prove the well-posedn...
AbstractFor a bounded smooth domain Ω⊂RNx+Ny let Ωɛ, 0<ɛ, be a family of domains squeezed in y∈RNy d...
AbstractIn this paper we prove the existence and uniqueness of a weak solution for a non-autonomous ...
AbstractLet Ω be an arbitrary smooth bounded domain in RM×RN and ε>0 be arbitrary. Write (x, y) for ...
Consider a reaction-diffusion equation $u_t=\triangle u+f(u)$ on a family of net-shaped thin domains...
Abstract. We prove existence and upper semicontinuity of attractors for a reaction-diffusion equatio...
Abstract. Consider a reaction-diffusion equation ut = 4u + f(u) on a family of net-shaped thin domai...
We prove existence and upper semicontinuity of attractors for a reaction-diffusion equation on a fam...
We prove existence of global attractors for parabolic equations of the form [GRAPHICS] on an arbit...
We prove existence of global attractors for parabolic equations of the form $$ \alignedat2 u_t+\b...
In this paper we study the structure of the global attractor for a multivalued semiflow generated by...
We prove existence of global attractors for semilinear damped wave equations of the form $$ \aligna...
A method is proposed to prove the global attractor existence for multivalued semiflows with weak con...
We prove the existence of uniform attractors for the non-autonomous reaction diffusion equation $$...
We consider reaction-diffusion equations on a family of domains depending on a parameter $\eps> 0$...
We consider a nonlinear reaction–diffusion equation on the whole space R^d. We prove the well-posedn...
AbstractFor a bounded smooth domain Ω⊂RNx+Ny let Ωɛ, 0<ɛ, be a family of domains squeezed in y∈RNy d...
AbstractIn this paper we prove the existence and uniqueness of a weak solution for a non-autonomous ...
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