Variable exponent Calderón's problem in one dimension
نویسندگان
چکیده
منابع مشابه
The Supercooled Stefan Problem in One Dimension
We study the 1D contracting Stefan problem with two moving boundaries that describes the freezing of a supercooled liquid. The problem is borderline ill–posed with a density in excess of unity indicative of the dividing line. We show that if the initial density, ρ0(x) does not exceed one and is not too close to one in the vicinity of the boundaries, then there is a unique solution for all times...
متن کاملUniqueness results for a Dirichlet problem with variable exponent
We study the uniqueness of weak solutions for Dirichlet problems with variable exponent and non-standard growth conditions. First, we provide two uniqueness results under ellipticity type hypotheses. Next, we provide a uniqueness result when the operator driving the problem is in the form of the divergence of a monotone map. Finally, we derive a fourth uniqueness result under homogeneity type h...
متن کاملInterpolation in Variable Exponent Spaces
In this paper we study both real and complex interpolation in the recently introduced scales of variable exponent Besov and Triebel–Lizorkin spaces. We also take advantage of some interpolation results to study a trace property and some pseudodifferential operators acting in the variable index Besov scale.
متن کاملVariable-range hopping and quantum creep in one dimension.
We study the quantum nonlinear response to an applied electric field E of a one-dimensional pinned charge-density wave or Luttinger liquid in the presence of disorder. From an explicit construction of low-lying metastable states and of bounce instanton solutions between them, we demonstrate quantum creep v=e(-c/E(1/2)) as well as a sharp crossover at E=E(*) towards a linear response form consis...
متن کاملSimulations of transport in one dimension
Advection-dispersion equation is solved in numerically by using combinations of differential quadrature method (DQM) and various time integration techniques covering some explicit or implicit single and multi step methods. Two different initial boundary value problems modeling conservative and nonconservative transports of some substance represented by initial data are chosen as test problems. ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales Academiae Scientiarum Fennicae Mathematica
سال: 2019
ISSN: 1239-629X,1798-2383
DOI: 10.5186/aasfm.2019.4459