New schemes for a two-dimensional inverse problem with temperature overspecification.
Non linear phenomena in glaciology: ice-surging and streaming.
En estas notas presentamos algunos modelos físicos que han sido propuestos recientemente para tratar el problema de los movimientos repentinos y casi periódicos del hielo, así como la aparición de corrientes de hielo rápidas en los grandes mantos glaciares que se deslizan sobre lechos blandos y deformables. Estos fenómenos están relacionados con la transición de un régimen de flujo lento a uno rápido y pueden aparecer debido a una modificación del sistema de drenaje del glaciar. Los fenómenos en...
Non-autonomous stochastic Cauchy problems in Banach spaces
We study the non-autonomous stochastic Cauchy problem on a real Banach space E, , t ∈ [0,T], U(0) = u₀. Here, is a cylindrical Brownian motion on a real separable Hilbert space H, are closed and densely defined operators from a constant domain (B) ⊂ H into E, denotes the generator of an evolution family on E, and u₀ ∈ E. In the first part, we study existence of weak and mild solutions by methods of van Neerven and Weis. Then we use a well-known factorisation method in the setting of evolution...
Nonconvex evolution inclusions generated by time-dependent subdifferential operators.
Non-degenerate implicit evolution inclusions.
Nonexistence of Global Weak Solutions to Some Properly and Improperly Posed Problems of Mathematical Physics: The Method of Unbounded Fourier Coefficients.
Nonexistence of local solutions to semilinear partial differential inequalities
Nonexistence of positive solution for quasilinear elliptic problems in the half-space.
Nonexistence of solutions to systems of higher-order semilinear inequalities in cone-like domains.
Nonexistence Results for Semilinear Equations in Carnot Groups
In this paper, following [3], we provide some nonexistence results for semilinear equations in the the class of Carnot groups of type ★.This class, see [20], contains, in particular, all groups of step 2; like the Heisenberg group, and also Carnot groups of arbitrarly large step. Moreover, we prove some nonexistence results for semilinear equations in the Engel group, which is the simplest Carnot group that is not of type ★.
Nonexistence results of solutions to systems of semilinear differential inequalities on the Heisenberg group.
Nonexistence theorems for weak solutions of quasilinear elliptic equations.
Nonhomogeneous quasilinear hyperbolic system arising in chemical engineering
Nonlinear compressible vortex sheets in two space dimensions
We consider supersonic compressible vortex sheets for the isentropic Euler equations of gas dynamics in two space dimensions. The problem is a free boundary nonlinear hyperbolic problem with two main difficulties: the free boundary is characteristic, and the so-called Lopatinskii condition holds only in a weak sense, which yields losses of derivatives. Nevertheless, we prove the local existence of such piecewise smooth solutions to the Euler equations. Since the a priori estimates for the linearized...
Nonlinear degenerate elliptic equations with measure data
In this paper we prove existence results for some nonlinear degenerate elliptic equations with data in the space of bounded Radon measures and we improve the results already obtained in Cirmi G.R., On the existence of solutions to non-linear degenerate elliptic equations with measure data, Ricerche Mat. 42 (1993), no. 2, 315–329.
Nonlinear elliptic differential equations with multivalued nonlinearities
In this paper we study nonlinear elliptic boundary value problems with monotone and nonmonotone multivalued nonlinearities. First we consider the case of monotone nonlinearities. In the first result we assume that the multivalued nonlinearity is defined on all . Assuming the existence of an upper and of a lower solution, we prove the existence of a solution between them. Also for a special version of the problem, we prove the existence of extremal solutions in the order interval formed by the upper...
Nonlinear equations with natural growth terms and measure data.
Nonlinear evolution equations generated by subdifferentials with nonlocal constraints
We consider an abstract formulation for a class of parabolic quasi-variational inequalities or quasi-linear PDEs, which are generated by subdifferentials of convex functions with various nonlocal constraints depending on the unknown functions. In this paper we specify a class of convex functions on a real Hilbert space H, with parameters 0 ≤ t ≤ T and v in a set of functions from [-δ₀,T], 0 < δ₀ < ∞, into H, in order to formulate an evolution equation of the form , 0 < t < T, in H. Our...
Nonlinear Evolution Equations of Soboley-Galpern Type.
Nonlinear functional integrodifferential equations in Hilbert space.