AbstractWe proved recently that parabolic initial value problems with discontinuous nonlinearities have no unique weak solution in general, but have a unique generalized solution in the sense of Colombeau. In this paper we study the relationship between generalized solutions and weak solutions
summary:In this work, we study the existence and uniqueness of weak solutions of fourth-order degene...
AbstractWe consider the nonlinear parabolic equation ut−Δu + u3 = 0 in Q = Ω×]0, T[ (T > 0, Ω open s...
AbstractThe authors of this paper study the existence and uniqueness of weak solutions of the initia...
AbstractWe proved recently that parabolic initial value problems with discontinuous nonlinearities h...
We study parabolic differential equations with a discontinuous nonlinearity and subjected to a nonl...
AbstractIn this paper, we establish the existence and uniqueness of weak solutions for the initial-b...
In [H. Brezis, A. Friedman, Nonlinear parabolic equations involving measures as initial conditions, ...
We prove new existence and uniqueness results for weak solutions to non-homogeneous initial-boundary...
In [H. Brezis, A. Friedman, Nonlinear parabolic equations involving measures as initial conditions, ...
AbstractIn this paper we develop a unifying method to prove the existence and uniqueness of weak sol...
In this paper we develop a unifying method to prove the existence and uniqueness of weak solutions f...
summary:In this work, we study the existence and uniqueness of weak solutions of fourth-order degene...
summary:In this paper we study nonlinear parabolic equations using the method of upper and lower sol...
In this work, we study the existence and uniqueness of weak solu- tions of fourth-order degenerate p...
summary:In this work, we study the existence and uniqueness of weak solutions of fourth-order degene...
summary:In this work, we study the existence and uniqueness of weak solutions of fourth-order degene...
AbstractWe consider the nonlinear parabolic equation ut−Δu + u3 = 0 in Q = Ω×]0, T[ (T > 0, Ω open s...
AbstractThe authors of this paper study the existence and uniqueness of weak solutions of the initia...
AbstractWe proved recently that parabolic initial value problems with discontinuous nonlinearities h...
We study parabolic differential equations with a discontinuous nonlinearity and subjected to a nonl...
AbstractIn this paper, we establish the existence and uniqueness of weak solutions for the initial-b...
In [H. Brezis, A. Friedman, Nonlinear parabolic equations involving measures as initial conditions, ...
We prove new existence and uniqueness results for weak solutions to non-homogeneous initial-boundary...
In [H. Brezis, A. Friedman, Nonlinear parabolic equations involving measures as initial conditions, ...
AbstractIn this paper we develop a unifying method to prove the existence and uniqueness of weak sol...
In this paper we develop a unifying method to prove the existence and uniqueness of weak solutions f...
summary:In this work, we study the existence and uniqueness of weak solutions of fourth-order degene...
summary:In this paper we study nonlinear parabolic equations using the method of upper and lower sol...
In this work, we study the existence and uniqueness of weak solu- tions of fourth-order degenerate p...
summary:In this work, we study the existence and uniqueness of weak solutions of fourth-order degene...
summary:In this work, we study the existence and uniqueness of weak solutions of fourth-order degene...
AbstractWe consider the nonlinear parabolic equation ut−Δu + u3 = 0 in Q = Ω×]0, T[ (T > 0, Ω open s...
AbstractThe authors of this paper study the existence and uniqueness of weak solutions of the initia...