72,563 research outputs found
Lu=x^u+kux=x f(x,y) Eliptik denklemi için genelleştirilmiş fonksiyon sınıflarında bazı problemler
No full textThis work consists of six parts. The first part, which is the introduction part, organized to help, the other parts in the points of understanding. In the second part we have been given domain D and a solution related with the equation (1.1) given, on a part of the boundary of D. Under these conditions we examined the solution of the boundary value problem in domain D. We have also examined the properties of existency, uniticty and stability for the solution of the problem in some known spaces. In these examinations we used a priori, Galerkin and Carleman methods. In the third part we add the term K(x, y, %, tj) u (£, t|) dÇ dTj to the equation (1.1) and examined the solution of the new boundary value problem as in the second part. After this we obtained some results similar to the second part. In part four, we examined the mixed problem related with the equation (1.1 ). In part five, we examined the inverse problem of finding the pair of ( u, f ) related with the equation Lu = x f ( x, 'y ). In the last part, which is the sixth part, we examined the solution of Cauchy problem related with the equation of Lu = x f ( x, 'y ). After that we add the condition of u| = u 2 to the Cauchy problem examined the inverse problem of finding ( u, f ) pair. Key Words : Potential theory, elliptic type equation, inverse problem, mixed problem generalized function, Galerkin method.Bu çalışma altı bölümden oluşmaktadır. Birinci bölüm olan giriş bölümü, diğer bölümlerde incelenen problemlerin anlaşılmasına yardımcı olacak şekilde düzenlenmiştir. ikinci bölümde belirli bir D bölgesinin sınırının bir kısmında çözüm verildiğinde bu bölgenin içinde ( 1. 1 ) denklemi ile ilgili problemin çözümünün bulunması incelenmiştir. Problemin çözümünün varlığı, tekliği ve kararlılığı belirli uzaylarda incelenmiştir. Bu incelemelerde kullanılan yöntemler ön değerlendirmeler, Galerkin ve Carieman metodlarıdır. Üçüncü bölümde (1.1) denklemine K(x, y, £, r\) u (£, ti) d| dTj integral ifadesi ekle- nerek meydana gelen denklem için 2. bölümde olduğu gibi problem incelenip benzer sonuçlar elde edilmiştir. Dördüncü bölümde karışık problem incelenmiştir. Beşinci bölümde Lu s xf(x, *y) denkleminde belirli şartlar verildiğinde ( u, f ) çiftinin bulunması ters problemi incelenmiştir. Son bölüm olan, altıncı bölümde verilen Cauchy problemine u| _ = u2 şartı eklenerek ( u, f ) çiftinin bulunması ile ilgili ters problem incelenmiştir.ANAHTAR KELİMELER : Potansiyel teori, eliptik tip diferensiyel denklem, ters problem, karışık problem, genelleştirilmiş fonksiyon, Galerkin metodu
Landsat MSS classification of fire fuel types in Wood Buffalo National Park, northern Canada
No full textJ1: Global Ecology & Biogeography Letters; M3: Article; Milne, David Franklin, Steven E. Wilson, Bradley A. Ghitter, Geoff Heathcott, Mark McCaffrey, Thomas M. Ow, Charlotte F. Y.; Source Information: Mar1994, Vol. 4 Issue 2, p33; Subject Term: FOREST fires; Author-Supplied Keyword: Canada (Wood Buffalo National Park); Author-Supplied Keyword: Forest fire; Author-Supplied Keyword: Fuel type classification; Author-Supplied Keyword: Landsat data; Number of Pages: 0p; Document Type: Articl
Nanocnide zhejiangensis X. F. Jin & Y. F. Lu
No full text2. <i>Nanocnide zhejiangensis</i> X. F. Jin & Y. F. Lu, Nordic J. Bot. 37: e02339. 2019. <p> <b>Type</b>:— Mainland China. Zhejiang: Mt. Tongling, Meichang, 16 Apr. 2012, <i>X. F. Jin 2806</i> (holotype, HTC; isotype, PE, ZM).</p> <p> <b>Description</b>:—Perennial herb. Stems erect, basally branched, diffuse, 15‒50 cm tall, glabrous. Leaves alternate; blades triangular-ovate, broadly ovate or flabellate, 0.8‒4.0 cm long, 1.0‒ 3.5 cm wide, obtuse at apex, cuneate or broadly cuneate or rarely truncate at base, with deeply 3‒9-crenate margin, adaxially green, sparsely hirsute, abaxially pale green or pale purple, glabrous, 3‒5-veined; cystoliths conspicuous on both surfaces, botuliform; petioles 0.7‒4.5 cm long, glabrous; stipules elliptic-oblong, ovate or broadly ovate, 1.0‒ 1.5 mm long, glabrous. Staminate inflorescences in distal axils, cymose dichotomously branched, longer than leaves, sparsely flowered; peduncles 3.6‒9.0 cm long, glabrous; pedicels 1‒5 mm long, glabrous. Pistillate inflorescences in clusters, in distal axils, shorter than leaves; peduncles 3‒25 mm long, glabrous, without pedicels. Staminate flowers purplish red, ca 2 mm in diam.; perianth lobes five, ovate, 1.2‒1.5 mm long, with green costa, glabrous; stamens five, shorter than perianths, with yellow anthers. Pistillate flowers green; perianth lobes four, unequal, outer two longer, ca 1.5 mm long, boat-shaped, with keeled costa, acuminate or solitary spinose—setaceous at apex, dorsally glabrous, inner two long-ovate, ca 1 mm long, glabrous. Achenes compressed-ovoid, pale yellow, ca 1 mm long, verrucose.</p> <p> <b>Distribution</b>:—Endemic to Mainland China (Mt. Tongling in Zhejiang).</p>Published as part of <i>Aoki, Satoshi, Li, Pan, Matsuo, Ayumi, Suyama, Yoshihisa & Ito, Motomi, 2023, Molecular phylogeny and taxonomy of the genus Nanocnide (Urticaceae) with particular attention to the Ryukyu Islands endemic N. lobata, pp. 23-40 in Phytotaxa 607 (1)</i> on pages 35-36, DOI: 10.11646/phytotaxa.607.1.3, <a href="http://zenodo.org/record/8212166">http://zenodo.org/record/8212166</a>
Some problems in the genelazed function classes for the elliptic equation Lu=x^u+kux=x f(x,y)
No full textThis work consists of six parts. The first part, which is the introduction part, organized to help, the other parts in the points of understanding. In the second part we have been given domain D and a solution related with the equation (1.1) given, on a part of the boundary of D. Under these conditions we examined the solution of the boundary value problem in domain D. We have also examined the properties of existency, uniticty and stability for the solution of the problem in some known spaces. In these examinations we used a priori, Galerkin and Carleman methods. In the third part we add the term K(x, y, %, tj) u (£, t|) dÇ dTj to the equation (1.1) and examined the solution of the new boundary value problem as in the second part. After this we obtained some results similar to the second part. In part four, we examined the mixed problem related with the equation (1.1 ). In part five, we examined the inverse problem of finding the pair of ( u, f ) related with the equation Lu = x f ( x, 'y ). In the last part, which is the sixth part, we examined the solution of Cauchy problem related with the equation of Lu = x f ( x, 'y ). After that we add the condition of u| = u 2 to the Cauchy problem examined the inverse problem of finding ( u, f ) pair. Key Words : Potential theory, elliptic type equation, inverse problem, mixed problem generalized function, Galerkin method.Bu çalışma altı bölümden oluşmaktadır. Birinci bölüm olan giriş bölümü, diğer bölümlerde incelenen problemlerin anlaşılmasına yardımcı olacak şekilde düzenlenmiştir. ikinci bölümde belirli bir D bölgesinin sınırının bir kısmında çözüm verildiğinde bu bölgenin içinde ( 1. 1 ) denklemi ile ilgili problemin çözümünün bulunması incelenmiştir. Problemin çözümünün varlığı, tekliği ve kararlılığı belirli uzaylarda incelenmiştir. Bu incelemelerde kullanılan yöntemler ön değerlendirmeler, Galerkin ve Carieman metodlarıdır. Üçüncü bölümde (1.1) denklemine K(x, y, £, r\) u (£, ti) d| dTj integral ifadesi ekle- nerek meydana gelen denklem için 2. bölümde olduğu gibi problem incelenip benzer sonuçlar elde edilmiştir. Dördüncü bölümde karışık problem incelenmiştir. Beşinci bölümde Lu s xf(x, *y) denkleminde belirli şartlar verildiğinde ( u, f ) çiftinin bulunması ters problemi incelenmiştir. Son bölüm olan, altıncı bölümde verilen Cauchy problemine u| _ = u2 şartı eklenerek ( u, f ) çiftinin bulunması ile ilgili ters problem incelenmiştir.ANAHTAR KELİMELER : Potansiyel teori, eliptik tip diferensiyel denklem, ters problem, karışık problem, genelleştirilmiş fonksiyon, Galerkin metodu
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How persistent is disaggregate inflation? An analysis across EU 15 countries and HICP sub-indices
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