The Cauchy problem with impulse action and degeneration for parabolic equations
Journal Title: Математичні Студії - Year 2019, Vol 52, Issue 1
Abstract
We study the Cauchy problem for the second-order linear parabolic equations with impulse conditions in the time variable and power singularity in the coefficients of any order with respect to the time and space variables. By using the maximum principle and apriori estimates we establish the existence and uniqueness of solution of the problem in Holder spaces with power weight.
Authors and Affiliations
I. D. Pukal’skii, B. O. Yashan
Keywords
Related Articles
- EP ID EP673807
- DOI 10.30970/ms.52.1.63-70
- Views 46
- Downloads 0
Bounded l-index and l-M-index and compositions of analytic functions
We partially proved a conjecture from Mat. Stud. 47 (2017), no.2, 207--210: for an entire function f the function H(z)=f(1/(1−z)n), n∈N, is of bounded l-index in C∖{0} with l(|z|)=β/(1−|z|)n+1, β>1, if and only if f is o...
Frechet distance between weighted rooted trees
The aim of this note is to extend the notion of Frechet distance over the set of weighted rooted trees. The weighted trees naturally appear as skeletons of planar domains. The defined distance allows for defining a dista...
Quantitative version of the Bishop-Phelps-Bollobas theorem for operators with values in a space with the property β
The Bishop-Phelps-Bollobas property for operators deals with simultaneous approximation of an operator T and a vector x at which T:X→Y nearly attains its norm by an operator F and a vector z, respectively, such that F at...
The analogue of Bernstein’s inverse theorem for the one class of the space of sequences (in Ukrainian)
We introduce the space of numerical sequences lp={x=(ξk)∞k=1:|x|=∑∞k=1|ξk|pk≤+∞} with a quasi-norm |⋅| for an every sequence p=(pk)∞k=1 of numbers pk from the interval (0,1] and we prove the analogue of the inverse of Be...
On mathematical realism and applicability of hyperreals
We argue that Robinson’s hyperreals have just as much claim to applicability as the garden variety reals. In a recent text, Easwaran and Towsner (ET) analyze the applicability of mathematical techniques in the sciences,...