AbstractWe generalize the classical Frobenius Theorem to distributions that are spanned by locally Lipschitz vector fields. The various versions of the involutivity conditions are extended by means of set-valued Lie derivatives—in particular, set-valued Lie brackets—and set-valued exterior derivatives. A PDEs counterpart of these Frobenius-type results is investigated as well
We prove the following result: if a continuous vector field $F$ is Lipschitz when restricted to the ...
We prove a Lipschitz extension lemma in which the extension procedure simultaneously preserves the L...
In this paper we prove a generalization of the classical notion of commutators of vector fields in t...
AbstractWe generalize the classical Frobenius Theorem to distributions that are spanned by locally L...
We prove a Frobenius-type theorem for singular distributions generated by a family of locally Lipsch...
AbstractA proof of the relative version of Frobenius theorem for a graded submersion, which includes...
Control theory has found several applications in Physics in the last decades, from Statistical and C...
Using the notion of Levi form of a smooth distribution, we discuss the local and the global problem ...
In this thesis, we explore the following question: what is the accessible set of a distribution H on...
Abstract. Given a system of s independent 1-forms on a smooth man-ifold M of dimension m, we study t...
We formulate a notion of (uniform) asymptotic involutivity and show that it implies (unique) integra...
It is well known that a k-dimensional smooth surface in a Euclidean space cannot be tangent to a non...
In this note we announce some results, due to appear in [2], [3], on the structure of integral and n...
We formulate a notion of (uniform) asymptotic involutivity and show that it implies (unique) integ...
AbstractThis paper concerns the problem of integrability of non closed distributions on Banach manif...
We prove the following result: if a continuous vector field $F$ is Lipschitz when restricted to the ...
We prove a Lipschitz extension lemma in which the extension procedure simultaneously preserves the L...
In this paper we prove a generalization of the classical notion of commutators of vector fields in t...
AbstractWe generalize the classical Frobenius Theorem to distributions that are spanned by locally L...
We prove a Frobenius-type theorem for singular distributions generated by a family of locally Lipsch...
AbstractA proof of the relative version of Frobenius theorem for a graded submersion, which includes...
Control theory has found several applications in Physics in the last decades, from Statistical and C...
Using the notion of Levi form of a smooth distribution, we discuss the local and the global problem ...
In this thesis, we explore the following question: what is the accessible set of a distribution H on...
Abstract. Given a system of s independent 1-forms on a smooth man-ifold M of dimension m, we study t...
We formulate a notion of (uniform) asymptotic involutivity and show that it implies (unique) integra...
It is well known that a k-dimensional smooth surface in a Euclidean space cannot be tangent to a non...
In this note we announce some results, due to appear in [2], [3], on the structure of integral and n...
We formulate a notion of (uniform) asymptotic involutivity and show that it implies (unique) integ...
AbstractThis paper concerns the problem of integrability of non closed distributions on Banach manif...
We prove the following result: if a continuous vector field $F$ is Lipschitz when restricted to the ...
We prove a Lipschitz extension lemma in which the extension procedure simultaneously preserves the L...
In this paper we prove a generalization of the classical notion of commutators of vector fields in t...
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