Abstract. We study p−evolution pseudo-differential systems of the first order with coefficients in (t, x) and real characteristics. We find sufficient conditions for the well-posedness of the Cauchy problem in H ∞ . These conditions involve the behavior as x → ∞ of the coefficients, requiring some decay estimates to be satisfied
AbstractThe local solvability of the Cauchy problem in Sobolev spaces is studied for a class of nonl...
In this work we study the well-posedness of the Cauchy problem for a class of pseudo-differential pa...
We prove the H ∞ H^{\infty } well-posedness of t...
We study p-evolution pseudo-differential systems of the first order with coefficients in (t,x) and r...
We consider p-evolution equations in (t,x) with real characteristics. We give sufficient conditions ...
AbstractWe consider p-evolution equations with real characteristics. We give a condition, on the low...
In this paper we deal with the Cauchy problem for evolution equations with real characteristics. We ...
We study p-evolution equations of order m greater than 2 with coefficients depending both on t and x...
We consider p-evolution equations, for p ≥ 2, with complex valued coefficients. We prove that a nec...
AbstractWe study the Cauchy problem for a class of p-evolution operators P(t,x,Dt,Dx) in [0,T]×Rn,p>...
We prove local in time well-posedness in Sobolev spaces of the Cauchy problem for semi-linear p-evol...
none2noIn the hyperbolic Cauchy problem, the well-posedness in Sobolev spaces is strictly related to...
In this paper we consider a class of $p$-evolution equations of arbitrary order with variable coeffi...
We study the Cauchy problem for a class of $p$-evolution operators $P(t,x,D_t,D_x)$ in $[0,T]times ...
The local solvability of the Cauchy problem in Sobolev spaces is studied for a class of nonlinear p...
AbstractThe local solvability of the Cauchy problem in Sobolev spaces is studied for a class of nonl...
In this work we study the well-posedness of the Cauchy problem for a class of pseudo-differential pa...
We prove the H ∞ H^{\infty } well-posedness of t...
We study p-evolution pseudo-differential systems of the first order with coefficients in (t,x) and r...
We consider p-evolution equations in (t,x) with real characteristics. We give sufficient conditions ...
AbstractWe consider p-evolution equations with real characteristics. We give a condition, on the low...
In this paper we deal with the Cauchy problem for evolution equations with real characteristics. We ...
We study p-evolution equations of order m greater than 2 with coefficients depending both on t and x...
We consider p-evolution equations, for p ≥ 2, with complex valued coefficients. We prove that a nec...
AbstractWe study the Cauchy problem for a class of p-evolution operators P(t,x,Dt,Dx) in [0,T]×Rn,p>...
We prove local in time well-posedness in Sobolev spaces of the Cauchy problem for semi-linear p-evol...
none2noIn the hyperbolic Cauchy problem, the well-posedness in Sobolev spaces is strictly related to...
In this paper we consider a class of $p$-evolution equations of arbitrary order with variable coeffi...
We study the Cauchy problem for a class of $p$-evolution operators $P(t,x,D_t,D_x)$ in $[0,T]times ...
The local solvability of the Cauchy problem in Sobolev spaces is studied for a class of nonlinear p...
AbstractThe local solvability of the Cauchy problem in Sobolev spaces is studied for a class of nonl...
In this work we study the well-posedness of the Cauchy problem for a class of pseudo-differential pa...
We prove the H ∞ H^{\infty } well-posedness of t...