AbstractWe give sufficient conditions for the global solvability of Kirchhoff equation in terms of the spectral resolutions of the initial data u(0,x),ut(0,x). We assume no smallness conditions and only “Sobolev-type” regularity
AbstractIn this work, we prove that the Cauchy problem∂tu+νu+∂xv+u∂xu=μΔu,∂tv+νv+∂x(uv+u−∂x2u)+∂x−1∂...
AbstractIn this work we consider an initial boundary value problem related to the equation ut−div|∇u...
We prove an existence result for a coupled system of the reactiondiffusion kind. The fact that no gr...
AbstractThe initial boundary value problem for the compressible Navier–Stokes equation is considered...
AbstractThe following degenerate parabolic system modelling chemotaxis is considered:(KS){ut=∇⋅(∇um−...
AbstractThe paper deals with the impulsive nonlinear boundary value problem u″(t)=ft,u(t),u′(t),g1(u...
AbstractThe existence of solutions of an abstract Nemytskii-type differential equation in a Hilbert ...
AbstractIn this paper, we answer affirmatively an open problem (cf. Theorem 4′ in Ferrero and Gazzol...
Neste trabalho, consideramos um problema de valor inicial para uma equação de advecção-difusão dupla...
AbstractExtending the notion of very weak solutions, developed recently in the three-dimensional cas...
AbstractConsider the initial boundary value problem for the linear dissipative wave equation (□+∂t)u...
AbstractThe singular nonlinear third-order periodic boundary value problem u″′+ρ3u=f(t,u),0⩽t⩽2π, wi...
AbstractHölder regularity up to the boundary of the solutions to the Dirichlet problem for second or...
AbstractIn this paper Morse theory and local linking are used to study the existence of multiple non...
AbstractIn this paper we study the existence of positive large solutions for the equation Δpu+λ|∇u|p...
AbstractIn this work, we prove that the Cauchy problem∂tu+νu+∂xv+u∂xu=μΔu,∂tv+νv+∂x(uv+u−∂x2u)+∂x−1∂...
AbstractIn this work we consider an initial boundary value problem related to the equation ut−div|∇u...
We prove an existence result for a coupled system of the reactiondiffusion kind. The fact that no gr...
AbstractThe initial boundary value problem for the compressible Navier–Stokes equation is considered...
AbstractThe following degenerate parabolic system modelling chemotaxis is considered:(KS){ut=∇⋅(∇um−...
AbstractThe paper deals with the impulsive nonlinear boundary value problem u″(t)=ft,u(t),u′(t),g1(u...
AbstractThe existence of solutions of an abstract Nemytskii-type differential equation in a Hilbert ...
AbstractIn this paper, we answer affirmatively an open problem (cf. Theorem 4′ in Ferrero and Gazzol...
Neste trabalho, consideramos um problema de valor inicial para uma equação de advecção-difusão dupla...
AbstractExtending the notion of very weak solutions, developed recently in the three-dimensional cas...
AbstractConsider the initial boundary value problem for the linear dissipative wave equation (□+∂t)u...
AbstractThe singular nonlinear third-order periodic boundary value problem u″′+ρ3u=f(t,u),0⩽t⩽2π, wi...
AbstractHölder regularity up to the boundary of the solutions to the Dirichlet problem for second or...
AbstractIn this paper Morse theory and local linking are used to study the existence of multiple non...
AbstractIn this paper we study the existence of positive large solutions for the equation Δpu+λ|∇u|p...
AbstractIn this work, we prove that the Cauchy problem∂tu+νu+∂xv+u∂xu=μΔu,∂tv+νv+∂x(uv+u−∂x2u)+∂x−1∂...
AbstractIn this work we consider an initial boundary value problem related to the equation ut−div|∇u...
We prove an existence result for a coupled system of the reactiondiffusion kind. The fact that no gr...
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